Solve for r
r=-\frac{x}{2}+\frac{1}{3}
Solve for x
x=\frac{2}{3}-2r
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2-3x=6r
Multiply both sides of the equation by 6, the least common multiple of 3,2.
6r=2-3x
Swap sides so that all variable terms are on the left hand side.
\frac{6r}{6}=\frac{2-3x}{6}
Divide both sides by 6.
r=\frac{2-3x}{6}
Dividing by 6 undoes the multiplication by 6.
r=-\frac{x}{2}+\frac{1}{3}
Divide 2-3x by 6.
2-3x=6r
Multiply both sides of the equation by 6, the least common multiple of 3,2.
-3x=6r-2
Subtract 2 from both sides.
\frac{-3x}{-3}=\frac{6r-2}{-3}
Divide both sides by -3.
x=\frac{6r-2}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{2}{3}-2r
Divide 6r-2 by -3.
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