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

6X - 9y – 20z = - 4;

4x – 15y + 10z = - 1;

2x - 3y - 5z = - 1.

To find: - x , y , z

Given set of lines are : -

6x - 9y - 20z = - 4

4x – 15y + 10z = - 1

2x - 3y - 5z = - 1

Converting the following equations in matrix form,

AX = B

3R₂ – 2R₁

3R₃ – R₁

Again converting into equations, we get

6x - 9y - 20 z = - 4

- 27y + 70z = 5

5z = 1

Z =

- 27y + 70 = 5

- 27y = 5 – 14

- 27y = - 9

Y =

6x – 9× - 20 × = - 4

6x = - 4 + 3 + 4

X =

∴