Answer :


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



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