Solve the linear system of equations using the linear combination method. {4x−9y=202x−6y=16 enter your answers in the boxes. x = y =

A

Step-by-step explanation:

-4.5, 4.25

The correct answer is:

x = -4; y = -4

Explanation:

We are going to eliminate the variable x. In order to do this, we are going to make the coefficients the same by multiplying the second equation by 2:

In order to eliminate x, we must subtract the transformed second equation from the first:

Divide both sides by 3:

3y/3 = -12/3

y = -4

Substitute this into the first equation:

4x-9y = 20

4x-9(-4) = 20

4x--36 = 20

4x+36 = 20

Subtract 36 from each side:

4x+36-36 = 20-36

4x = -16

Divide both sides by 4:

4x/4 = -16/4

x = -4

where is the option given