# Answer to Question #19896 in Algebra for george

Question #19896

y=-3x-3z+11

x=-2y-z+17

z=x-y

x=-2y-z+17

z=x-y

Expert's answer

y=-3x-3z+11

x=-2y-z+17

z=x-y

y = -3x - 3(x - y) + 11

x = -2y - (x - y) + 17

y = -6x + 3y + 11 -> 2y = 6x - 11

x = -y - x + 17 -> y = -2x + 17 -> 2y = -4x + 34

6x - 11 = -4x + 34

10x = 45

x = 4.5

y = -2*4.5 + 17 = 8

z = 4.5 - 8 = -3.5

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