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 second equations, then the second and third equations.

x – 3y – 3z = –13
x + 2y – z = –1
2x + 3y + 2z = 0

a.x – 3y = –13
–2x – 9y = –10

b.2x + 3y = 0
4x + 7y = –2

c.–2x – 9y = –10
4x + 7y = –2

d.x – 3y = –13
2x + 3y = 0

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 second equations, then the second and third equations.

x – 3y – 3z = –13
x + 2y – z = –1
2x + 3y + 2z = 0 

 a.x – 3y = –13
–2x – 9y = –10 

 b.2x + 3y = 0
4x + 7y = –2 

 c.–2x – 9y = –10
4x + 7y = –2 

 d.x – 3y = –13
2x + 3y = 0

anonymous · Answer

c.
10 - 9 y = 2 x
-2  -7 y = 4 x

anonymous · Answer

If you have access to Mathematica, you can verify your answers by using the Eliminate function.