To find: - x , y , z

Given set of lines are : -

5x - y = - 7

2x + 3z = 1

3y - z = 5

Converting the following equations in matrix form,

AX = B

5R₂ – 2R₁

2R₃ - 3R₂

Again converting into equations we get

5x – y = - 7

2y + 15z = 19

- 47z = - 47

Z = 1

2y + 15 = 19

2y = 19 - 15

Y = 2

5x – 2 = - 7

5x = - 5

X = - 1

∴ x = - 1 , y = 2 , z = 1