Q. 18

# Solve each of the following systems of equations using matrix method.x + 2y + z = 7;x + 3z = 11;2x – 3y = 1.

To find: - x , y , z

Given set of lines are : -

x + 2y + z = 7;

x + 3z = 11;

2x – 3y = 1

Converting following equations in matrix form,

AX = B

R2 – R1

R3 –2R1

R3 + R2

Again converting into equations we get

X + 2y + z = 7

- 2y + 2z = 4

- 9y = - 9

Y = 1

- 2×1 + 2z = 4

2z = 6

Z = 3

X + 2×1 + 3 = 7

X = 7 - 2 - 3

X = 2

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