Solve the system using elimination. 4y+x= -17 -2y+2x =16

Answers

Answer 1

Answer:

(3, -5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4y + x = -17

-2y + 2x = 16

Step 2: Rewrite Systems

-2y + 2x = 16

[Multiplication Property of Equality] Multiply 2 to both sides:                       2(-2y + 2x) = 32[Distributive Property] Distribute 2:                                                                 -4y + 4x = 32

Step 3: Redefine Systems

4y + x = -17

-4y + 4x = 32

Step 4: Solve for x

Elimination

Combine equations:                                                                                         5x = 15[Division Property of Equality] Divide 5 on both sides:                                  x = 3

Step 5: Solve for y

Substitute in x [Original Equation]:                                                                  4y + 3 = -17[Subtraction Property of Equality] Subtract 3 on both sides:                        4y = -20[Division Property of Equality] Divide 4 on both sides:                                  y = -5
Answer 2

Answer:

Step-by-step explanation:

Let's solve your system by elimination.

4y+x=−17;−2y+2x=16

Multiply the first equation by -2,and multiply the second equation by 1.

−2(4y+x=−17)

1(−2y+2x=16)

Becomes:

−2x−8y=34

2x−2y=16

Add these equations to eliminate x:

−10y=50

Then solve −10y= 50 for y:

−10y=50

−10y /−10  =  50/  −10 (Divide both sides by -10)

y = −5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

4y + x = −17

Substitute −5 for y in 4y+x=−17:

(4)(−5)+x=−17

x−20=−17(Simplify both sides of the equation)

x−20+20=−17+20(Add 20 to both sides)

x=3

Answer:

x=3 and y=−5

HOPE IT WILL HELP :)


Related Questions

what does it mean when someone looks through your peephole in ur house and says "im comin' for u. u better run while u have the chance"?

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it means you are my neighbor

Step-by-step explanation:

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Step-by-step explanation:

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search correct answer which expression is equivalent to the polynomial?​

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Looks like C due to the exponent outside the parenthesis

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Step-by-step explanation:

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Answer:

3x

Step-by-step explanation:

if  __ + 3 = 15   and x=4  then you need to find what plus 3 = 15.

12+3 = 15, and to get from 4 to 12 you multiply by 3

3x + 3 = 15! hope that helps

PLEASE HELP ME ASAP??!!!!!!!!

Answers

9514 1404 393

Answer:

  (d) ∅

Step-by-step explanation:

Subtracting y from both sides gives ...

  4 = -5

There is no value of y that will make this true. There is no solution to the equation.

The solution set is the null set: ∅.

Hello!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

7.71 km²

Step-by-step explanation:

Area of triangle:

A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

See attached for details

sin 40° = h/4h = 4 sin 40°h = 2.57 km

The area is:

A = 1/2*6*2.57 = 7.71 km²

Testing:

H0:μ=54.5

H1:μ<54.5

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

Calculate the test statistic, rounded to 2 decimal places.

t=

Answers

Answer:

t = -1.54.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

H0:μ=54.5

This means that [tex]\mu = 54.5[/tex]

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]

Test statistic

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is t = -1.54.

Please help me

Explain how to solve the equation and how to check the
solution.


40 = 8y

Answers

Answer:y=5

Step-by-step explanation:

To find out what y is you have to do the inverse to 'undo' the equation.

So instead of multiplying y by 8 you have to divide 40 by 8.

40÷8=5

So y=5

You can check your answer by putting 5 where y is.

40=8×5

Hope this helps :)

Answer:

Use the inverse operation to isolate the variable. Undo multiplication by dividing by 8 on both sides of the equation. Simplify by completing the divisions, 40 ÷ 8 = 5, and 8 ÷ 8 = 1. The solution is y = 5. Check the solution by substituting 5 for y in the original equation, and then simplify. 8 × 5 = 40 and 40 = 40 is a true statement, so 5 is the solution.

Step-by-step explanation:

On edge 2021



The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?

Answers

The width of the rectangle is 5 units

Solve for x.
4x - 6 = 30

Answers

Answer:

x = 9

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

The solution to the equation 4x - 6 = 30 is x = 9.

What is the solution to the equation?

Given the equation in the question:

4x - 6 = 30

To solve the equation 4x - 6 = 30, first, isolate the term with the variable:

4x - 6 = 30

Add 6 to both sides of the equation to isolate the term with the variable:

4x - 6 + 6 = 30 + 6

Add -6 and 6

4x + 0 = 30 + 6

4x = 30 + 6

Add 30 and 6

4x = 36

Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 36/4

x = 36/4

x = 9

Therefore, the value of x is 9.

Learn more about equations here: brainly.com/question/14686792

#SPJ6

Write 7/40 as a
percent. explain plz

Answers

17.5

This is because if you do the math: (7/40)*100 you get 17.5!

So divide 7 by 40 and then multiply it by 100!

7/40=0.175
0.175*100=17.5

Can someone please give me the answers to all three I will be marking u brilliant

Answers

Answer:

1. 18

2. 49.5

3. 48

Step-by-step explanation:

1. Since it is 3 dogs to 1 person we need to multiply 6 with 3, so we get 18 dogs!

2. Since 2 books equal 8.25, we just need to multiply 8.25 by 6, which we get 49.5 from!

Hope this helps and don't forget to follow!

help me please thank you

Answers

Answer:

3/2 and 3/4 are both not multiples of 1/3.

Step-by-step explanation:

They have to have 3 as the denominator (or the number below the line) to be a multiple of 1/3. For example: 1/3, 2/3, 3/3.

Hope you understand that! :)

Answer:

Explanation Below :)

Step-by-step explanation:

3/2 & 3/4 are mistakes

When finding three multiples of a number that is a fraction, the denominator (bottom number) always stays the same. So, 3/2 & 3/4 are not multiples of 1/3.

Scott's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that
have a radius of 6 in. If copper costs $0.75 per in, how much will the copper cost to make one ball?
Use 3.14 for I, and do not round your answer.

Answers

Explanation is in a file

Which stamens is true

Answers

The answer is B,

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What is the inverse operation needed to isolate the variable 4 = p - 8

Answers

It’s addition

If you want I can explain it to you in the comments

Answer:

To do this you need to add both sides by 8. yw

Step-by-step explanation:

I need help please ^^ with math:

Which temperature is warmest?

1. 0°F
2. -25°
3. -32°F
4. 14°F

witch number?

Answers

Answer:

14 degrees is th warmest

4 because 2 & 3 are negative which is cold and 14 is not negative but the warmest out of the others

Is 1/2 is equal to 1/10+1/10+1/10+1/10+1/10?

Answers

Answer:

Yes

Step-by-step explanation:

ANSWER:
Yes

STEP BY STEP:
if you were to add up all of the 1/10, you would get 5/10. When you simplify 5/10, you get 1/2.

Hope this Helps

In a major city is 7% find the total cost including the tax change on a purchase of $400 the total cost including sales tax is how much money

Answers

Answer:

$428, with the sales tax being $28.

Step-by-step explanation:

400 x 7/100 = 28

400+28=428

consider the infinite geometric series 2(p-5) + 2(p-5)² + 2(p-5)³​

Answers

10(p+3)-4(p+10)-6(p+15)

Jeremy users 18 inches of twine for each box he packs for shipping. how many yards of twine does he need to wrap 5 boxes?

Answers

Answer:

2.5 yards of twine

Step-by-step explanation:

1 box = 18 inches

5 boxes = 18 x 5 = 90 inches

90 inches = 2.5 yards

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Answer:

no real numbers will make this equation true

Step-by-step explanation:

if you square both sides, you'll get sqrt(-49). this will get you an imaginary number (7i) which is not a real number.

8mil 133yd 2ft - 5mil 107 yd 2ft =​

Answers

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How do you find y = x + 8. x + y = 2 in substitoun form

Answers

You plug in x + 8 for y in the second equation.
answer: x + x + 8 = 2

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Answers

Answer:

D, -42 multiply 6 on both sides

D. because when it is multiplied, the inequality is no longer true.

Similar triangles and slope

Line r is parallel to line c
Which angle is congruent

Answers

Answer:

C. ∠5

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

∠3 ≅ ∠5

Answer:

C. ∠5

Step-by-step explanation:

Angle 3 makes alternate interior angle pair with angle 5

∠3 ≅ ∠5


[tex]1 \div 7[/tex]

Answers

Answer:

1/7 or 0.14

Step-by-step explanation:

Answer:

0.14

Step-by-step explanation:

All I did was plug it into my calculator. If you don't have one, you can use your phone or computer. Both devices have calculators programmed in. This answer is not the exact answer; it is just the first two decimals.

Please let me know if you need more help. Hope this helps!

6) The Delphi method used for forecasting: A) uses a single measure that weights multiple indicators and provides a measure of overall expectation. B) obtains forecasts through a comparative analysis with a previous situation. C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires. D) uses measures that are believed to influence the behavior of a variable that the researcher wishes to forecast.

Answers

Answer:

C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

The Delphi method is a structured communication framework or technique that is typically used as an interactive forecasting method to arrive at a group decision or opinion by relying on the feedback from a panel of experts. The individual opinions of the panel of experts are modified to ensure anonymity and are mainly an unbiased exchange of ideas, so as to produce a convergence of opinions.

Hence, the Delphi method used for forecasting uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

Find all solutions to the equations:
y^2=14y-24

x^4-81=0

Answers

Answer:

y2=14y-24

y2-14y+24=0

y2-2y-12y+24=0

yx(y-2)-12(y-2)=0

(y-2)x(y-12)=0

y-2=0

y-12=0

y=2

y=12

y1=2,y2=12

x4-81=0

x4=81

x=+3

x=-3

x=3

x1=-3.x=3

what is 2/3(9+x)=-5(4-x)

Answers

Answer:

x=78

Step-by-step explanation:

2/3(9+x)=-5(4-x)

6+2/3=-20+x

6=-20+1/3x

x=78

Answer:

x=6

Step-by-step explanation:

Distribute.

2/3 * 9 = 6

2/3 * x = 2/3x

Distribute other side.

-5*4 = -20

-5 * -x = 5x

Rewrite.

6 + 2/3x = -20 + 5x

Subtract 5x from both sides.

-13/3x + 6 = -20

Subtract 6 from both sides.

-13/3x = -26

Multiply -3/13 to both sides.

x=6

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