Question

If you were to use the substitution method to solve the following system, choose the new system of equations that would result if x was isolated in the third equation.

2x – 3y + z = –4
2x – 2y + z = –1
x – 2y + 3z = –6

Answer 1

Choices:

Answer 2

5x + 7y = 6
y – 4 = –1

–y – 1 = –4
–5x + 4y = –3

y – 5z = 8
2y – 5z = 11

–7y + 7z = 8
–6y + 7z = 11

Answer 3

If x was isolated in the third equation, you would get x=2y-3z-6, use that to 'substitute' back into the first two equation to get your answer.
\[2*(2y-3z-6) -3y +z = -4\]
\[2*(2y-3z-6) - 2y +z = -1\]

Answer 4

4y - 6z - 12 - 3y + z = -4

Answer 5

y - 5z = 8

Answer 6

4y - 6z - 12 - 2y + z = -1

Answer 7

2y - 5z = 11

Answer 8

so it's c?

Answer 9

yes

Answer 10

thank you!