To find: - x , y , z

Given set of lines are : -

4x - 5y - 11z = 12

X – 3y + z = 1;

2x + 3y – 7z = 2

Converting the following equations in matrix form,

AX = B

4R₂ – R₁

2R₃ – R₁

5R₃ + R₂

Again converting into equations we get

4x – 5y - 11z = 12

- 7y + 15z = - 8

48 y = - 48

Y = - 1

7 + 15z = - 8

15z = - 15

Z = - 1

4x + 5 + 11 = 12

4x = 12 - 5 - 11

4x = - 4

X = - 1

∴