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Solve for x, y, z
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x\left(-6\right)=3\left(-4\right)
Consider the first equation. Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9x, the least common multiple of 9,3x.
x\left(-6\right)=-12
Multiply 3 and -4 to get -12.
x=\frac{-12}{-6}
Divide both sides by -6.
x=2
Divide -12 by -6 to get 2.
x=2 y=2 z=2
The system is now solved.