Solve each of the following systems of equations using matrix method.

2x + 8y + 5z = 5;

x + y + z = - 2;

x + 2y - z = 2.

To find: - x , y , z

Given set of lines are : -

2x + 8y + 5z = 5;

x + y + z = - 2;

x + 2y - z = 2

Converting the following equations in matrix form,

AX = B

2R₂ – R₁

2R₃ – R₁

3R₃ – 2R₂

Again converting into equations, we get

2x + 8y + 5z = 5

- 6y - 3z = - 9

- 15z = 15

Z = - 1

- 6y - 3 × - 1 = - 9

- 6y = - 9 - 3

Y = 2

2x + 8×2 + 5× - 1 = 5

2x = 5 - 16 + 5

X = - 3

∴