x y z 1 2x 4y 2z 6 x 2y z 3Solutionxyz1 1 2x4y2z6 2

x + y + z = -1 2x - 4y - 2z = 6 x + 2y + z = -3

x+y+z=-1 ----------------------------(1)

2x-4y-2z=6 ----------------------------(2)

x+2y+z=-3 -----------------------------(3)

multiplying equation 1 by -1 and adding equation 1 and 3

-x-y-z = 1

x+2y+z =-3

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y = - 2

multiplying equation 3 by 2 and adding equation 2 and 3

2x+4y+2z=-6

2x-4y-2z=6

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4x =0

x = 0

plugging values of x and y into any of the eqaution

x+y+z=-1

0 + (-2) + z = -1

z = 1

x = 0 , y = -2 , z = 1