To find: - x , y , z

Given set of lines are : -

3x - 4y + 2z = - 1

2x + 3y + 5z = 7;

x + z = 2

Converting the following equations in matrix form,

AX = B

3R₂ – 2R₁

3R₃ – R₁

11R₃ - R₂

Again converting into equations, we get

3x - 4y + 2z = - 1

17y + 11z = 23

27 y = 54

Y = 2

17×2 + 11z = 23

11z = 23 – 34

Z = - 1

3x – 4 × 2 + 2× - 1 = - 1

3x = - 1 + 8 + 2

3x = 9

X = 3

∴