Solve for x, y, z
z=1
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7x-12=8-5x
Consider the first equation. Subtract 5 from 13 to get 8.
7x-12+5x=8
Add 5x to both sides.
12x-12=8
Combine 7x and 5x to get 12x.
12x=8+12
Add 12 to both sides.
12x=20
Add 8 and 12 to get 20.
x=\frac{20}{12}
Divide both sides by 12.
x=\frac{5}{3}
Reduce the fraction \frac{20}{12} to lowest terms by extracting and canceling out 4.
x=\frac{5}{3} y=1 z=1
The system is now solved.
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