# In order to solve the following system of equations by elimination, which process creates opposite coefficients to eliminate the y variable?

2x + y = 5

x + 4y = −7

A. Multiply the first equation by 4*******

B. Multiply the second equation by 2

C. Multiply the first equation by -4

D. Multiply the second equation by -2

A??? IDK PLZ HELPP

## I am going with A!

## It’s C

## I would say either A or C depending on if you add or subtract the resulting equations. If your text adds, then C

## it said " .... creates **opposite** coefficients to eliminate the y"

so clearly C

## To solve the given system of equations by elimination, we want to create opposite coefficients for the y variable so that when we add or subtract the equations, the y variable will cancel out.

Looking at the two equations:

2x + y = 5

x + 4y = -7

If we multiply the first equation by 4, we get:

(4)(2x + y) = (4)(5)

8x + 4y = 20

Now, if we compare the second equation, x + 4y = -7, with the new equation we obtained, 8x + 4y = 20, we see that the coefficients of the y variable have become opposite. The coefficient(s) of y in the two equations are now 4y and -4y, which can be eliminated by adding or subtracting the equations.

Therefore, the correct process to create opposite coefficients and eliminate the y variable is to multiply the first equation by 4.

Hence, the answer is A. Multiply the first equation by 4.