6x+4y=42 -3x+3y=-6 by elimination

Answers

Answer 1

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer 2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

6x+4y=42 -3x+3y=-6 By Elimination

Related Questions

A garden has the dimensions of 5x4 in feet. The gardener wants to expand her garden to 56 square feet. She wants to add the same distance (x) to each side. What is the value of x. Must show work for credit. *

Answers

Answer:

2 feet

Step-by-step explanation:

If we were to add the same amount to each dimension then the ratio would be the same, meaning that the length will always be one more than the width. Therefore, the two consecutive numbers that when multiplied equal 56 are 6 and 7.

7 * 6 = 56 square feet

This means that we would be adding 2 feet to each side.

ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C XY = 18 XY = 32 XY = 6 XY = 8

Answers

Answer:

[tex]XY = 18[/tex]

Step-by-step explanation:

Given

[tex]ABC:AXY = 4 : 3[/tex]

[tex]BC = 24[/tex]

Required

Find XY

Represent BC and XY as a ratio;

[tex]BC : XY = 24 : xy[/tex]

Recall that:

[tex]ABC:AXY = 4 : 3[/tex]

Equate both ratios;

[tex]24 : xy = 4 : 3[/tex]

Convert to fractions

[tex]\frac{24}{xy} = \frac{4}{3}[/tex]

Cross Multiply

[tex]xy * 4 = 24 * 3[/tex]

[tex]xy * 4 = 72[/tex]

Divide through by 3

[tex]xy * 4/4 = 72/4[/tex]

[tex]xy = 18[/tex]

Hence:

[tex]XY = 18[/tex]

Answer:

XY = 18

Step-by-step explanation:

Need Help
Question is in screenshot below

Show your work if you can

Thank you :)

Answers

Answer:  Approximately 191 bees

================================================

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

If triangle JKL~ Triangle MKN, find the value of x

Answers

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values

[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4

What is similarity of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One right angle triangle, ΔJKL

one segment MN which is intersecting sides KJ & KL

ΔJKL has one similar triangle inside, which is ΔMKN

Triangle ΔJKL and ΔMKN are similar,

So, we can say ΔJKL ≈ ΔMKN

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, KN/MN = KL/JL

⇒ (X + 1)/12 = (3X -2)/32

⇒ 32X + 32 = 36X - 24

⇒ 32 + 24 = 36X - 32X

⇒ 56 = 14X

⇒ X = 4

To know more about properties of triangles check:

https://brainly.com/question/8476788

#SPJ1

what is the simplified fractional equivalent of the terminating decimal 0.32

Answers

Answer:

8/25

Step-by-step explanation:

Brainliest pls

Answer:

8/25

Step-by-step explanation:

What is the equation of the line in slope intercept form?​

Answers

Answer:

y=3/5x+3

Step-by-step explanation:

HI PLS HELP ME ASAP!! THIS IS VERY EASY

The question is there in the picture.

What’s the answer?
A) 34
B) 11
C) 9
D) 28

Answers

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent, that is

∠ Q = ∠ P, substitute values

3x + 1 = 2x + 10 ( subtract 2x from both sides )

x + 1 = 10 ( subtract 1 from both sides )

x = 9

Thus

∠ Q = 3x + 1 = 3(9) + 1 = 27 + 1 = 28° → D

how do you find the slope, I really need help.

Answers

Answer:

-1/10

Step-by-step explanation:

its down 1 and right 10 so you know the slope is -1/10

(can I get brainliest please)

The answer is b. The rise is 1 and the run is 10

what is the answer it is hard and dumb

Answers

D since the line is going to the right.

d

good luck  

n     kjhikjnbjkjnhb hjijnbhjijijn

у - 2x2 +Чу ...............

Answers

that is 22 i think but if that’s not right sorry

Please help me and i will give you brainlest prettyplease

Answers

Answer:

Ainsworth (1970) identified three main attachment styles, secure (type B), insecure avoidant (type A) and insecure ambivalent/resistant (type C).

Step-by-step explanation:

For example, Schaffer and Emerson suggested that attachments develop in four stages: asocial stage or pre-attachment (first few weeks), indiscriminate attachment (approximately 6 weeks to 7 months), specific attachment or discriminate attachment (approximately 7-9 months) and multiple attachment (approximately 10

There is a sale at your favorite clothing store. They have their jeans priced at $49.99 with a extra 20% off. How much will you pay for three pairs of jeans, not including tax? Exlpain how you got your answer.

Answers

Answer: You need to pay $119.98 for three pairs of jeans.

Step-by-step explanation:

Market price of 1 jeans = $49.99

Discount percent = 20% = 0.20

Market price for 3 jeans = 3 x ($49.99)

= $ 149.97

Discount price = 20% of (Market price for 3 jeans )

= .0.20 x ($149.97)

= $ 29.99

Price of 3 jeans after discount = (Market price for 3 jeans ) - ( Discount price)

= $ (149.97 - 29.99)

= $  119.98

Hence, you need to pay $119.98 for three pairs of jeans.

(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider charges $10 per month plus an activation fee of $20. A second cellphone provider charges $11 per month plus an activation fee of $15. For what number of months is the cost of either cellphone provider the same?

Answers

Answer:

Hope it can help you.......

If you understand my answer, You can mark me as a brainlist...........

Follow me.........

Can someone help me with both these answers I’m marking brainliest

Answers

Answer:

X = 12/60%

60% = 0.6

X = 12/0.6

X = 20.

For the second one, multiply 350 by 0.02, which is just 2% in decimal form.

350*0.02 =7

That's 7 eggs.

Hope this helps!

XYZ is Shown Below


Determine the value of x.

Answers

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

Hi! This is due soon and I really need help. (-:

Write an expression to represent the income of the fundraiser in the following paragraph

Write an expression to represent the profit of the fundraiser.

The varsity basketball team is selling t-shirts as a fundraiser. It costs them $100 to have the shirts professionally designed, and they have to pay $5 for each shirt. They plan on selling the shirts for $10 each.

I already got that the expression that represents the expenses of the fundraiser would be -5x+100. But I was kinda confused about the other ones :-/ Any help would be appreciated (-:

Answers

Answer:

10x>5x+100

Step-by-step explanation:

it says expression not equations so its < , >,

The profit would be on one side and the expenses on the other

No negatives

so it would be 5 times X (the amount of shirts) plus the base fee of $100

and they plan on selling it for 10$ each so (10x) is the profit

X = number of shirts

To paint a house, a painting compay charges a flat rate of $500 for supplies, plus $50 for each hour of labor. How much would the painting company charge to paint a house that needs 20 hours of labor?

Answers

Answer:

$1500

Step-by-step explanation:

You multiply the $50 an hour by the 20 hours and you end up with $1000, then you add the flat rate of $500 and you get $1500.

At the end of the year, Close made the current year on mark down to make Room for next year models. One particular model had a sticker price of $28,640 when it was new. After being marked down, the price is now $27,208. What What is the percent of decrease in the price of the car

Answers

Answer: 5%.

Step-by-step explanation:

Given data:

Old price = $28,640

New price = $27,208

Solution:

Percentage of decrease

= old price - new price / old price * 100

= $28,640 - $27,208 /. $28,640 * 100

= $1432/$28,640*100

= 0.05*100

= 5%.

The percentage of decrease for the car is 5%.

A local restaurant served 124 cups of pancake mix every hour it takes 1 1/4 cups of mix to make one pancake the pancakes are all equal in size about how many pancakes can the restaurant make in two hours

Answers

Answer: The restaurant can make 199 pancakes in two hours.

Step-by-step explanation:

Given: Total number of cups of pancake mix used in 1 hour = 124

Mix required for each pancake = [tex]1\dfrac14=\dfrac{5}{4}[/tex]

Number of cups of pancake mix used in 2 hours = 2 x 124 = 248

Number of pancakes made = (Number of cups of pancake mix used in 2 hours ) ÷ (Mix required for each pancake )

[tex]=248\div\dfrac54\\\\=248\times\dfrac45\\\\= 198.4\approx199[/tex]

Hence, the restaurant can make 199 pancakes in two hours.

guys plz help ASAP its timed and i dont know what im doing wrong will mark brailiest 18 points

Answers

Answer:

28.26 is the awnser

Step-by-step explanation:

Tell me if i got it right

THAnks

there are 50 kilometers in 31 miles. which representation does NOT show the same relationship

Answers

Answer: D

Step-by-step explanation: did you get it right

Answer:

D

Step-by-step explanation:

the length of a rectangular mat is twice its breath.if its length is 50 cm find its area and perimeter​

Answers

Answer:

L = 2W

If L = 50cm

then

w= 25cm

Area = L*W= 50*25

Area= 1250 cm^2

Perimeter

P = 2(L+W)

P= 2 (50+25)

P = 150cm

Simplity
4/x+1 - 3/x-1​

Answers

Answer:

[tex]\frac{1}{x}[/tex]

or

[tex]\frac{4x^{2} -3}{x}[/tex]

Step-by-step explanation:

can i have brainliest?

charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence

Answers

Sksisjjsjskakalalaljdjdh

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation:

please answer please answer thank you

Answers

Answer:

367.62 in³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  

Here, that volume of the whole sphere is V = (4/3)(3.14)(5.6 in)³, or

V = 735.25 in³

A 'hemisphere' is half a sphere.  Thus, the volume of each hemisphere shown here is

735.25 in³

---------------- = 367.62 in³     This just about matches the first answer choice.

        2

( 30 points ) help meee !

Answers

Answer:

D

Step-by-step explanation:

hard to explain, but trust me.

Answer:

I think its c but im not sure srry if im wrong im not good at math

Step-by-step explanation:

A bag contains 12 red marbles the ratio of red marbles to blue marbles is 4:3 find the number of blue marbles in the bag

Answers

Answer:

9

Step-by-step explanation:

this can be written as an equation.

12/x=4/3

and it is just easy now, you see what you multiply 4 by to get 12 and it is 3, so that means you have to multiply 3 by 3

3 times 3 is 9, so the answer is 9

Answer:

Hello There!!

Step-by-step explanation:

First look at the ratios the red marbles ratio is 4 and the blue marbles ratio is 3.

You already know that there are 12 ratios in the bag so 12÷4=3(1 ratio equals 3 marbles)

Therefore,3×3=9.So the answer is 9 blue marbles.

hope this helps,have a great day!!

~Pinky~

find the distance between the point
(-3,-4 and 5,5





(

Answers

Answer:

the square root of 145

Step-by-step explanation:

D= square root[(y2-y1)^2 + (x2-x1)^2]

D=square root[(5+4)^2 + (5+3)^2]

D=square root[(9)^2 + (8)^2]

D=square root[81 + 64]

D=square root[145]

HELPPPPPPPPPPPPPPPP!

Answers

Step-by-step explanation:

The answer is over stretching the ligament

Answer:

Sprain: over-streching the ligament

Tear: Torn or separated from bone

Dislocation: Bones separated from joint

Arthritis: Overuse injury that occurs over time

how do you explain HOW TO GET 10 x 2 - 3^2 + 4/2 -7= 6

Answers

Answer:

 ((x - (2x - 3)/(3x - 2))/(3x + 4)

and its fractional equivalent

       2x - 3

   x - ------

       3x - 2

   ----------

     3x + 4

it is easier to see the relation between the various parts, and how it

might be simplified, when you see it in the latter form. Notice that I

didn't have to use parentheses at all; that's because the bar serves

the double purpose of indicating division and of separating the

divisor from the dividend. In fact, this usage derives in part from an

old use of the bar (called a vinculum) to do what we usually do with

parentheses today, by putting a bar above any group of symbols that

are to be kept together:

Step-by-step explanation:

if wrong report me

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