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Solve for x, y, z
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150x=37\left(-x+200\right)
Consider the first equation. Variable x cannot be equal to 200 since division by zero is not defined. Multiply both sides of the equation by -x+200.
150x=-37x+7400
Use the distributive property to multiply 37 by -x+200.
150x+37x=7400
Add 37x to both sides.
187x=7400
Combine 150x and 37x to get 187x.
x=\frac{7400}{187}
Divide both sides by 187.
x=\frac{7400}{187} y=5 z=5
The system is now solved.