Question

4X-2Y=6
4Y-2Z=-2
4Z+2X=16

x-y+z ...?

Answer 1

4x - 2y = 6

4y - 2z = -2

4z + 2x = 16 ---> 2x = 16 - 4z
x = 8 - 2z

4x - 2y = 6
4(8 - 2z) - 2y = 6
32 - 8z - 2y = 6
-2y - 8z = 6 - 32
-2y - 8z = - 26

4y-2z=-2 |×1| 4y-2z=-2
-2y-8z=-26 |×2| -4y-16z=-52
------------------------------------(+)
-18z = - 54
z = 3

4y - 2z = -2
4y - 2.3 = -2
4y - 6 = -2
4y = -2 + 6
4y = 4
y = 1

4z + 2x = 16
4.3 + 2x = 16
12 + 2x = 16
2x = 16 - 12
2x = 4
x = 2

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