# Solve each of the following systems of equations using matrix method.x - y – 2z = 3;x + y = 1;x + z = - 6.

To find: - x , y , z

Given set of lines are : -

x - y - 2z = 3

x + y = 1

x + z = - 6

Converting the following equations in matrix form,

AX = B R2 – R1

R3 – R1 2R3 - R2 Again converting into equations we get

X + y - 2z = 3

2y + 2z = - 2

4z = - 16

Z = - 4

2y – 8 = - 2

2y = - 2 + 8

2y = 6

Y = 3

X - 3 + 8 = 3

X = - 2

x = - 2 , y = 3 , z = - 4

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