Answer:
x = 1, y = -1, z = 0.
Step-by-step explanation:
3x − y − 2z = 4
x + y − z = 0
2x − y + 3z = 3
Add the first and second equation (to eliminate y):
4x - 3z = 4 (A)
Add the second and third equation (to eliminate y):
3x + 2z = 3 (B)
Multiply equation A by 2 and equation B by 3:
8x - 6z = 8
9x + 6z = 9 Adding:
17x = 17
x = 1
Substitute x = 1 in equation A:
4(1) - 3z = 4
-3z = 0
z = 0.
Now substitute x = 1 and z = 0 in the first equation:
3(1) - y - 2(0) = 4
-y = 4 - 3
-y = 1
y = -1.
