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

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

anonymous · Answer

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

anonymous · Answer

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