What is the solution to this system of equations?4x - 3y = -14 and x - 2y = -6

Answers

Answer 1

Answer:

Step-by-step explanation:

See a solution process below:

Explanation:

Step 1) Solve the second equation for

x

:

2

x

2

y

=

18

2

x

2

y

+

2

y

=

18

+

2

y

2

x

0

=

18

+

2

y

2

x

=

18

+

2

y

2

x

2

=

18

+

2

y

2

2

x

2

=

18

2

+

2

y

2

x

=

9

+

y

Step 2) Substitute

(

9

+

y

)

for

x

in the first equation and solve for

y

:

4

x

+

3

y

=

13

becomes:

4

(

9

+

y

)

+

3

y

=

13

(

4

×

9

)

+

(

4

×

y

)

+

3

y

=

13

36

+

4

y

+

3

y

=

13

36

+

(

4

+

3

)

y

=

13

36

+

7

y

=

13

36

+

36

+

7

y

=

36

13

0

+

7

y

=

49

7

y

=

49

7

y

7

=

49

7

7

y

7

=

7

y

=

7

Step 3) Substitute

7

for

y

in the solution to the second equation at the end of Step 1 and calculate

x

:

x

=

9

+

y

becomes:

x

=

9

7

x

=

2

The solution is:

x

=

2

and

y

=

7

or

(

2

,

7

)

The solution is:

x

=

2

and  

y

=

7

 or

(

2

,

7

)


Related Questions

What number makes the equation true? Enter the answer in the box.


÷3 = 6​

Answers

Answer:

18

Step-by-step explanation:

multiply 6 by 3

Hope this helps. Pls give brainliest.

A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?

Answers

Answer: 14 hits

8 divided by 2 = 4 hits

So

28 divides by 2 = 14

Step-by-step explanation:

Answer:

14 hits

Step-by-step explanation:

find unit rate

4:8 = 2:1

2 hits in 1 game

divide 28/2

14

How do i explain this problem
-5 + (+4) =

Answers

Answer:

this question is essentially -5 + 4

You could say:

negative 5 plus 4

Just in case you need it, the answer to this problem is -1

May I have brainliest please? :)

3(10)+5x=26
Answer this please!!​

Answers

Answer:

=

4

-

5

Step-by-step explanation:

A couple plans to have 3 children. Assuming the probability of having either a boy or a girl is 50%, what is the probability they will have at least 1 girl?
Group of answer choices

0.875

0.125

0.375

0.75

Answers

Answer:

0.375

Step-by-step explanation:

The probability of having at least one girl out of 3 children can be calculated as;

P(1 girl, 2 boys) or P(2 girls, 1 boy) or P(3 girls)

Since the P(b) = P(g) = 1/2

Then the probability at any point in time is 1/2 * 1/2 * 1/2 = 1/8

So we have ;

1/8 + 1/8 + 1/8 = 3/8 = 0.375

HELP ILL GIVE 10 PTS quick pleaseee

Answers

Answer: I’m pretty sure it’s the 4th one.

Step-by-step explanation: because 1 and 2 have infinity solutions but 3 has no solution 4 comes up with x=-11

Can you give brainiest? :)

Is 700% of 5 less than 10 greater than 10 but less than 100 or greater than 100?

Answers

Your question doesn’t make much make sense but 700% of 5 is 35

I need help, please and thank you. I know that you have to multiply the diameter by 2 to find the radius, but with the 9 pi, it makes me unsure if I'm doing this correctly. ​

Answers

Answer:

r=6

Step-by-step explanation:

The area of a circle is given by πr². Note that this uses the radius, not the diameter.

Now, one quarter of this area (ABC) is given to be 9π.

So apparently:

[tex]\frac14 \pi r^2 = 9\pi[/tex]

If you solve this:

[tex]\frac14 r^2 = 9[/tex] (divide both sides by π)

[tex]r^2 = 9\cdot4[/tex] (multiply both sides by 4)

so

r = √36 = 6

so the radius is 6.

HELP ASAP WILL GIVE BRAINLEST
PLEASE HELP NOW ASAP
HELP

Answers

Answer:

x = 45°

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

since the whole angle is a right angle, we know its worth 90 degrees. since the line separates the 90 into two, with one part being 45, we can take 45 away from 90, and get our answer. 90-45=45. so the value of x=45

What is the slope of the line through (3, 2) and (-3,4)?​

Answers

Answer:

Choice A. -3

Step-by-step explanation:

Using the x1-x2/ y1-y2 u fill in. So it would be 3-(-3) (x-axis) and 2-4 (y-axis).

So when u do both of those you are left with 6/-2.

When u simplify 6/-2 you get -3.

Answer:

slope is -1/3

Step-by-step explanation:

slope is read rise over run so the line, in this case, fell down 1 and ran 3. Falling means negative so the slope is negative 1 over 3. To easily determine a negative slope, see if the line is moving from top left to bottom right. If so, then it's negative. The other way around is a positive slope.

(i don't do formulas well so I use the graph)

Which product is equivalent to -7 × 2/5?

Answers

Answer:

-2.8 or -14/5

Step-by-step explanation:

All you have to do is put the -7 over 1 and multiply across. So it'd look like:

-7/1 x 2/5 which works out across as -14/5 or you can convert it to a decimal to be -2.8. Hope this helps! :)

f(x) = 10x + 1, g(x) = 10x + 4

Describe the transformation

Answers

Answer:

The function is translated 3 units up from its original position.

Step-by-step explanation:

If you look at the equations, nothing is changed besides the + 1 turning into a + 4. What does that mean? Well, if we find the difference between the 4 and the 1 by subtracting, that leaves us with 3. Since the number is positive, this indicates an upward vertical shift.

.
Michael’s employer just switched to a new payroll system. He wants to make sure that his net pay has been computed correctly. His gross pay per pay period is $587.34. He has the following deductions: Social Security tax (6.2%), Medicare tax (1.45%), federal withholding tax $164.45, state withholding tax $76.34, retirement insurance contribution $50.00, disability insurance fee $8.00, medical insurance fee $23.00, and dental insurance fee $8.00. What should his net pay be for this pay period? Net pay = gross pay – deductions.

Answers

Answer:

Step-by-step explanation:

$587.34 x 6.2% = $36.42

$587.34 x 1.45% = $8.52

$36.42 + $8.53 + $164.45 + $76.34 + $50 + $8 + $23 + $8 = $374.73

$587.34 - $374.73 = $212.61

Michael's net pay for this pay period should be $212.63.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's calculate Michael's total deductions first:

Social Security tax = 6.2% of $587.34 = $36.40

Medicare tax = 1.45% of $587.34 = $8.52

Federal withholding tax = $164.45

State withholding tax = $76.34

Retirement insurance contribution = $50.00

Disability insurance fee = $8.00

Medical insurance fee = $23.00

Dental insurance fee = $8.00

Total deductions.

= $36.40 + $8.52 + $164.45 + $76.34 + $50.00 + $8.00 + $23.00 + $8.00

Total deductions = $374.71

Now we can calculate Michael's net pay:

Net pay = Gross pay - Total deductions

Net pay = $587.34 - $374.71

Net pay = $212.63

Therefore,

Michael's net pay for this pay period should be $212.63.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

6TH TIME POSTING....

Which algebraic rule describes the translation?

Wont let me copy and paste picture .-.

Cordinates: RUST: R= -4,-1 U= -4,-3 S= -1,-1 T= -1,-3
Cordinates: R'U'S'T': R'= 4,1 U'= 4,3 S'= 1,1 T'= 1,3

Answers

Answer:

I wanna say (x,y)→(-x,-y)

Step-by-step explanation:

3) At a coffee shop, the price of a cup of coffee increased from $1.20 to $1.44. What is the change? Is it an increase or decrease?

Answers

Answer:

$0.22 increase

Step-by-step explanation:

The expected values of two television sets are predicted as follows.
The function below models the expected value in dollars, of television A after 3 years.
f(x) = 100(-2+4)
The expected value, in dollars, of television B is initially $360 and decreases by $90 each year. Let g(x) represent the
expected value of television B after 3 years.
How does the graph of g(x) compare to the graph of f(x)?
The graph of g(x) has the lesser y-intercept.
The graph of g(x) has the greater 2-intercept.
The graph of g(x) has the greater y -intercept.
o The graph of g(x) has the lesser x-intercept.

Answers

Answer:

A. The graph of g (x) has the lesser y -intercept

Step-by-step explanation:

I took the test

For f(x) the y-intercept is given by, c = 400 and for g(x) the y-intercept is given by, c' = 360. The correct option is a) and this can be determined by using the slope-intercept form of the line.

Given :

The function [f(x) = 100(-x + 4)] models the expected value in dollars, of television A after 3 years.The expected value, in dollars, of television B, is initially $360 and decreases by $90 each year.

First, determine the function g(x) in order to comment on the graph of g(x). So, according to the given data the expected value, in dollars, of television B is initially $360 and decreases by $90 each year.

Let the total number of years be 'x'. Then the function g(x) is given by:

g(x) = 90x + 360

Now, compare the functions f(x) and g(x) with the slope-intercept form of the line in order to find the y-intercept.

For f(x) the y-intercept is given by, c = 400

For g(x) the y-intercept is given by, c' = 360

Therefore, the correct option is a) The graph of g(x) has the lesser y-intercept.

For more information, refer to the link given below:

https://brainly.com/question/11528842

Can someone help me ?

Answers

Using points: (4,4) and (6,5)

(5-4) / (6-4) = 1/2

Slope intercept is at y=2

y=1/2x+2

The Tigers’ second play went for +4 1/2 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?

Answers

Answer:

They gained 4 1/2 yards

Step-by-step explanation:

It was a positive gain because they didn't go back.

Answer:

Since the number is positive number they gained 4 1/2 yards

Step-by-step explanation:

hope this helped have a good day :) :)

Matthew likes to buy movies from a DVD club. He pays $5 per month
plus $2 per movie. If he buys six movies in June, how much did he pay for the month of June?

Answers

Answer:

$17

Step-by-step explanation:

$5

6x$2=$12

$12+$5=$17

State the slope and y-intercept of y=5x+2

Answers

Slope: 5
y-intercept: (0,2)

Answer:

5 is the slope

(0,2) is the y intercept

Step-by-step explanation:

The equation y = 5x + 2 appears to be written in the y = mx + b form of a linear equation.

m represents slope and b represents the y value of the y intercept.

Here, m = 5 and b = 2.

This means 5 is the slope and (0,2) is the y intercept.

Ann uses 3/4 cup pecans to make 2 dozen banana muffins. How many cups of pecans would she use to make 5 dozen muffins

Answers

Answer:

1[tex]\frac{7}{8}[/tex]cups

Step-by-step explanation:

2 dozen muffins = [tex]\frac{3}{4}[/tex]cups

5 dozen muffins = [tex]\frac{5}{2}[/tex] × [tex]\frac{3}{4}[/tex]cups

                           = [tex]\frac{15}{8}[/tex]cups

                           = 1[tex]\frac{7}{8}[/tex]cups

Which of these tables represents a non-linear function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.

Answers

Answer:

we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

Step-by-step explanation:

The nature of whether a function can be linear or non-linear, we must check how the x and y values of the table change. If the first difference between y-values remains the same (constant first difference), then the table will represent a linear function, otherwise not.

Given the x and y entries of the first table:

x            y

17           20

18           19

19           18

20          17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. 19-20=-1, 18-19=-1, 17-18=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          -16

18          -17

19           -18

20          -19

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -17-(-16)=-1, -18-(-17)=-1, -19-(-18)=-1

Thus, this table represents a linear function.

Given the x and y entries of the second table:

x            y

17          16

18          17

19           19

20          20

From the table, it is clear that as x constantly increases by 1 unit, but the y-values are not changing constantly. The first difference between y-values does not remain the same.

i.e. 17- 16 = 1, 19 - 17 = 2, 20 - 19 = 1

Thus, this table does not represent a linear function. Hence, it is a non-linear function.

Given the x and y entries of the second table:

x            y

17          -20

18          -19

19           -18

20          -17

From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.

i.e. -19-(-20)=1, -18-(-19)=1, -17-(-18)=1

Thus, this table represents a linear function.

Therefore, we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.

Please get the correct answer for this, and you WILL recieve brainliest, I will know If this is the wrong answer.

Answers

Answer:

yes i think they are similar

Step-by-step explanation:

A digram of a swimming pool is shown what is the approximate circumference of the swimming pool use 3.14 as a estimate

Answers

Answer:

11 m

Step-by-step explanation:

Answer:

11 m

Step-by-step explanation:

I took the maps testing

Identify the slope of the line for the equation y =
+
A
)
4
B)
1
6
C)
D)
1
4

Answers

Answer:

1/6

Step-by-step explanation:

The slope is the number in front of the x.

Help ASAP if you want brainliest, five stars, thanks, and friends list.
The two pics are the same question.

Answers

Answer:

Bro all of them are correct

Step-by-step explanation:

Round the following numbers to 1 decimal place.

a) 65.874

b) 326.59

c) 13.555

d) 7.959

Answers

Answer:

a)65.9

b)326.6

c)13.6

d)8.0

Answer:

a)65.9

b)326.6

c)13.6

d)8.0

one man have 20 oranges in one hod and the get 20 children in the road and he gave 1 orange fore each of them but there is still an orange left in the hod how ?​

Answers

Step-by-step explanation:

19 kids get an apple each, the 20th kid gets the basket with the apple in it, that’s the answer you want, right?

Well that’s a bogus answer, because how come one kid gets a free basket, and why do you even care that the basket has an apple in it if you don’t get to keep it anyway?

Plus it’s not “all the apples to each one of them” is it? No, it’s one apple each, and different apples are different sizes and degrees of ripeness and maybe some have bruises and it’s just inherently unfair.

Instead, I take 19 apples, and I make applesauce, and I distribute the applesauce using a precision scale so every child gets an exactly equal amount of applesauce, and I keep one apple in the basket, which I keep.

Now, of course it’s not quite “ALL the apples” to the children, but you cannot have your cake and eat it too. I gave an equal amount of apple to each child, and if it was 5% short of all the apples, well, it was, but what of it, that’s the best I can do and still keep one apple in the basket.

Because I am NOT giving one child the basket and having the other nineteen kids complaining about why Johnny got a basket and they didn’t, plus where’s my basket? No, I don’t think so.

Answer:

Give 19 children an orange each = 19 oranges given.

Leave one orange in the basket and give the basket containing that orange to the lucky 20th child.

20 Kids, 20 oranges — Case closed

Step-by-step explanation:

(Ans: 500)
4) The minimum charge of telephone calls up to 175 calls is Rs. 200 the charge for each
extra call of 2 minutes duration is Rs. 1. If a man paid Rs. 870.10 with 10% T.S.C and 13%
VAT for Rs telephone bill, find the number of extra calls made.
5) The distance between kalanki and Thamel is 5.4 Km. the minimum fare is Rs. 221 at the
first and the fare goes on at the rate of Rs. 11.10 per 200 meters. Find the taxi fare
between Kalanki and Thamel. (Ans Rs. 320.70)
6) Mr. Gopal hired a taxi and travelled a certain distance at 10:30pm he paid the total fare
of Rs. 345 including the additional waiting charge for 10 minutes. If the minimum fare is
RS. 21, the fare per 200m is a Rs 10.80 and the waiting charge is Rs. 10.80 per 2 minutes
find the distance travelled by him. (Ans: 5Km)
Algebraic Expression and simplification
Solved examples:
1. A) Factorize : a) 2 + 10 +
a
Sol" here,
+ 10 +
62
a?
21b2
21b2
a2
21b2
a2
7 ab
3 ab​

Answers

Answer:

bvyf0x9yoyx0xypypp0y0yyx0p60py0ypypppypyppyppypypppppppypp9ic attach xoxixizoxihixziicusfyfugdg lvl knockoff works

The vertices of a triangle are p(3,7) Q(7,-6) R(-8,7). Name the vertices of the image reflected across the x axis

Answers

Answer:

P'(3,-7) Q'(7,6) R'(-8,-7).

Step-by-step explanation:

Reflection across the x-axis

Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.

We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:

P'(3,-7) Q'(7,6) R'(-8,-7).

The new triangle has vertices P'Q'R'.

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Clare collected25 more used books than Ryan, Jerry collected 19 more used booksthan Clare. How many used books did Jerry collect? Resuelve las ecuaciones a+(-8/3)=23, 2y+(-5/4)=0,75, 18*=1/3, m-5=2/7AYUDA POR FAVOR What makes up an ionic compound?A. A positive anion and a negative cation B. A positive cation and a positive anionC. A negative anion and a negative anion nD. A positive cation and a negative anion Pick all that apply Exercise 1Robbs Fruit Farm consists of 100 acres on which three different types of apples grow. On 25 acres, the farm grows Empire apples. McIntosh apples grow on 30% of the farm. The remainder of the farm grows Fuji apples. Shade in the grid below to represent the portion of the farm each type of apple occupies. Use a different color for each type of apple. Create a key to identify which color represents each type of apple. The body loses up to 40 percent of its body heat through the _____ area Given that a bag of M & Ms has 21 brown candies, 15 orange candies, 10 yellow candies, 14 red candies, and 5 green candies, find the following probabilities. Enter all answers as reduced fraction. Do not use any spaces in your answers. What is the probability of choosing a green M & M, eating it, and then choosing a brown M & M?P( AnswerB | G )= AnswerWhat is the probability of choosing a red M & M on the second try given that the first M & M was red and it was eaten? True or False: A buffer solution containing equimolar amounts of the base, aniline, and the salt of its conjugate acid, aniline hydrochloride, will result in an acidic buffer solution. (aniline: Kb = 4.3x10-10)? Complete the following sentence with a definite article if it is necessary.MODEL: A mi prima le gusta comprar un vestido __ amarillo. N/A1. A Miriam le gusta ___ color verde.2. Mi hermana tiene una blusa ___ rosada porque es su color favorito.3. ___ anaranjado es mi color favorito.4. El color favorito de Juan es ___ morado.5. A Julio le gustan sus botas ___ negras. 4. Instead of driving drunk, what were some alternatives Peggje Stephey mentioned that he could havedone to avoid the accident? How did the gold rush impact the Cherokee? A. The Cherokee were not impacted by the gold rush.B. The Cherokee were able to find gold and keep all of their land. C. The Cherokee rented their land and houses to people visiting. D.The Cherokee land was taken to use in land lotteries for white settlers. Please give me the correct answer. Select the correct text in the passage.In this speech by Patrick Henry, he tries to convince his fellow Virginians that they should oppose the British government and become independent. In whichset of sentences does he most clearly state his commitment to seeking independence?No man thinks more highly than I do of the patriotism, as well as abilities of the very worthy gentlemen who have just addressed the House. Butdifferent men often see the same subject in different lights; and, therefore, I hope it will not be thought disrespectful to those gentlemen it,entertaining as I do opinions of a character very opposite to theirs, I shall speak forth my sentiments freely and without reserve. This is no timefor ceremony. The questing before the House is one of awful moment to this country.Mr. President, it is natural to man to Indulge in the illusions of hope. We are apt to shut our eyes against a painful truth, and listen to the song ofthat siren till she transforms us into beasts. Is this the part of wise men, engaged in a great and arduous struggle for liberty? Are we disposed tobe of the number of those who, having eyes, see not, and, having ears, hear not, the things which so nearly concern their temporal salvation? Formy part, whatever anguish of spirit it may cost, I am willing to know the whole truth; to know the worst, and to provide for it.I have but one lamp by which my feet are guided, and that is the lamp of experience. I know of no way of Judging of the future but by the past.And judging by the past, I wish to know what there has been in the conduct of the British ministry for the last ten years to justify those hopeswith which gentlemen have been pleased to solace themselves and the House, Is it that Insidious smile with which our petition has been latelyrecelved? Trust it not, sir, it will prove a snare to your feet.It is in vain, sir, to extenuate the matter. Gentlemen may cry, Peace, Peace-but there is no peace. The war is actually begunt The next gale thatsweeps from the north will bring to our ears the clash of resounding arms! Our brethren are already in the fieldt why stand we here Idle? What isit that gentlemen wish? What would they have? Is life so dear, or peace so sweet, as to be purchased at the price of chains and slavery? Forbid it,Almighty God! I know not what course others may take; but as for me, give me liberty or give me death The sum of two consecutive numbers is 51, find them.