find x,y,z of the system of linear equation x+y-3z=-6, -7y+7z=7, 3z = 9
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3z = 9
z=9/3 = 3.......... z= 3 ............(1)
-7y+7z=7, put (1) in this
-7y +7(3) =7
-7y + 21 = 7
-7y = 7 - 21
-7y = -14
y =2 ...........(2)
x+y-3z=-6 ...........put (1) and (2) in this
x + 2 -3(3) = 6
x + 2 -9 = 6
x -7 = 6
x = 6 + 7
x = 13
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