Solve for r
r=\frac{x}{2}-\frac{y}{6}
Solve for x
x=\frac{y+6r}{3}
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3x-6r=y
Swap sides so that all variable terms are on the left hand side.
-6r=y-3x
Subtract 3x from both sides.
\frac{-6r}{-6}=\frac{y-3x}{-6}
Divide both sides by -6.
r=\frac{y-3x}{-6}
Dividing by -6 undoes the multiplication by -6.
r=\frac{x}{2}-\frac{y}{6}
Divide y-3x by -6.
3x-6r=y
Swap sides so that all variable terms are on the left hand side.
3x=y+6r
Add 6r to both sides.
\frac{3x}{3}=\frac{y+6r}{3}
Divide both sides by 3.
x=\frac{y+6r}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{y}{3}+2r
Divide y+6r by 3.
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Limits
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