# Solve each of the following systems of equations using matrix method.2x + 8y + 5z = 5;x + y + z = - 2;x + 2y - z = 2.

To find: - x , y , z

Given set of lines are : -

2x + 8y + 5z = 5;

x + y + z = - 2;

x + 2y - z = 2

Converting the following equations in matrix form,

AX = B 2R2 – R1

2R3 – R1 3R3 – 2R2 Again converting into equations, we get

2x + 8y + 5z = 5

- 6y - 3z = - 9

- 15z = 15

Z = - 1

- 6y - 3 × - 1 = - 9

- 6y = - 9 - 3

Y = 2

2x + 8×2 + 5× - 1 = 5

2x = 5 - 16 + 5

X = - 3 Rate this question :

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