Solve for x
x=\frac{-19y-27z}{31}
Solve for y
y=\frac{-31x-27z}{19}
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x-32x=19y+27z
Subtract 32x from both sides.
-31x=19y+27z
Combine x and -32x to get -31x.
\frac{-31x}{-31}=\frac{19y+27z}{-31}
Divide both sides by -31.
x=\frac{19y+27z}{-31}
Dividing by -31 undoes the multiplication by -31.
x=\frac{-19y-27z}{31}
Divide 19y+27z by -31.
19y+27z+32x=x
Swap sides so that all variable terms are on the left hand side.
19y+32x=x-27z
Subtract 27z from both sides.
19y=x-27z-32x
Subtract 32x from both sides.
19y=-31x-27z
Combine x and -32x to get -31x.
\frac{19y}{19}=\frac{-31x-27z}{19}
Divide both sides by 19.
y=\frac{-31x-27z}{19}
Dividing by 19 undoes the multiplication by 19.
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Limits
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