Solve the system algebraically.

x - y + 2z = - 3

2x + 2y - z = - 3

3x + 2y = 8

No solution

(-42, 67, 53)

Infinite solutions

(43, - 57, 63)

1x - 1y + 2z = - 3 → 1x - 1y + 2z = - 3 → 2x - 2y + 4z = - 6

2x + 2y - 1z = - 3 → 2x + 2y - 1z = - 3 → 2x + 2y - 1z = - 3

3x + 2y + 0z = 8 4x + 3z = - 9

1x - 1y + 2z = - 3

2x + 2y - 1z = - 3 → 2x + 2y - 1z = - 3 → - 2x - 2y + 1z = 3

3x + 2y + 0z = 8 → 3x + 2y + 0z = 8 → 3x + 2y + 0z = 8

x + z = 11

4x + 3z = - 9 → 4x + 3z = - 9

1x + 1z = 11 → 4x + 4z = 44

-z = - 53

-1 - 1

z = 53

x + z = 11

x + 53 = 11

- 53 - 53

x = - 42

3x + 2y = 8

3 (-42) + 2y = 8

-126 + 2y = 8

+ 126 + 126

2y = 134

2 2

y = 67

(x, y, z) = (-42, 67, 53)

The answer is B.