Q. 35

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

x - y = 3;

2x + 3y + 4z = 17;

y + 2z = 7.

Answer :

To find: - x , y , z

Given set of lines are : -

x - y = 3

2x + 3y + 4z = 17

y + 2z = 7

Converting the following equations in matrix form,

AX = B

R_{2} – 2R_{1}

2R_{3} - R_{2}

Again converting into equations we get

X – y = 3

5y + 4z = 11

- 3y = 3

Y = - 1

5× - 1 + 4z = 11

4z = 16

Z = 4

X + 1 = 3

X = 2

∴ x = 2 , y = - 1 , z = 4

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