Question

Does anyone know how to solve this?
Find x,y,z
2x+y+z=3
x-y+2z=9
x+2y-z=-6

Answer 1

Answer:

$2x + y + z = 3 \\ 2x + y = 3 - z \\ 2x = 3 - z - y \\ x = \frac{3 - z - y}{2} \\ \\ x - y + 2z = 9 \\ - y + 2z = 9 - x \\ 2z = 9 - x + y \\ z = \frac{9 - x + y}{2} \\ \\ \\ x + 2y - z = 6 \\ 2y - z = 6 - x \\ 2y = 6 - x + z \\ y = \frac{6 - x + z}{2}$

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