Answer:
x = 3
y = -2
z = -1.
Step-by-step explanation:
2x -y +z = 7
2x + 4y - 2z = 0
x-y + 3z = 2
Subtracting the second equation from the first:
-5y + 3z = 7 ------------(A)
Multiply the third equation by -2 and adding this to the second equation:
6y -8z = -4 ..................(B)
Multiply A by 8 and B by 3, we get
-40y + 24z = 56
18y - 24z = -12 Adding:
-22y = 44
y = -2
So substituting for y in A:
-5(-2) + 3z = 7
3z = 7-10 = -3
z = -1.
Finally, substituting for y and z in the first equation:
2x -(-2) + (-1) = 7
2x + 2 - 1 = 7
2x = 7 - 1 = 6
x = 3.
