Question

2x + y - 8z = -5
x + y - 2z = 0
x + 2y + 3z = 6

Answer 1

{2x + y - 8z = -5

{x + y - 2z = 0

{x + 2y + 3z = 6

{2x + y - 8z = -5

{x = -y + 2z

{x + 2y + 3z = 6

{2(-y + 2z) + y - 8z = -5

{-y + 2z + 2y + 3z = 6

{-y - 4z = -5

{y + 5z = 6

z = 1

-y - 4 × 1 = -5

y = 1

x = -1 + 2 × 1

x = 1

(x, y, z) = (1, 1, 1)