To find: - x , y , z

Given set of lines are : -

2x - 3y + 5z = 16;

3x + 2y – 4z = - 4

x + y – 2z = - 3

Converting the following equations in matrix form,

AX = B

2R₂ – 3R₁

2R₃ –R₁

13R₃ - 5R₂

Again converting into equations, we get

2x - 3y + 5z = 16

13y - 23z = - 56

- 2z = - 6

Z = 3

13y – 23×3 = - 56

13y = - 56 + 69

Y = 1

2x - 3×1 + 5×3 = 16

2x = 16 + 3 - 15

2x = 4

X = 2

∴