Question

If you were to use the elimination method to solve the following system, choose the new system of equations that would result after the variable z is eliminated in the first and third equations, then the second and third equations.

5x + 3y – 2z = 16
8x + y – 2z = 8
3x + y + 2z = 0


Choices:

A)5x + 3y = 16
11x + 2y = 8

B)8x + 4y = 16
3x + y = 0

C)5x + 3y = 16
3x + y = 0

D)8x + 4y = 16
11x + 2y = 8

I need a quick answer and how it was solved

Answer 1

You will add the third equation to the first, notice z's cancel. Then add the third equation to the second, also z's cancel.

D

Answer 2

ok thank you so much they are a bit too hard for me but you kind of cleared things up thank you! :)