Question 82711
Solve. If there is no solution or if dependent, so state.

x - y + z = -11
x + y + z = -5
x + y - z = 1
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Using Cramer's Method: 
Coefficient determinant = (-1+1-1)-(1+1+1)=-4
The x-determinant = 5--15=20
Therefore x=20/-4=-5
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The y-determinant = -5-7 = -12
Therefore y = -12/-4 = 3
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the z-determinant = -5-(-17) = 12
Therefore z = 12/-4 = -3
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x=-5; y=3[ z=-3
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Cheers,
Stan H.