Solve the following system of equations

Question

3y + 2z = 5
2x − y − 3z = 2
2x + 2y − z = 7

Answer 1

2x − y − 3z = 2
2x + 2y − z = 7
-------------------subtract
-3 y - 2 z = -5
+3 y + 2 z = +5
---------------------add
0 = 0
no solution, lines parallel never cross