Solve for x
x=\frac{y}{2}+\frac{1}{3}
Solve for y
y=2x-\frac{2}{3}
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6x=2+3y
Add 3y to both sides.
6x=3y+2
The equation is in standard form.
\frac{6x}{6}=\frac{3y+2}{6}
Divide both sides by 6.
x=\frac{3y+2}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{2}+\frac{1}{3}
Divide 2+3y by 6.
-3y=2-6x
Subtract 6x from both sides.
\frac{-3y}{-3}=\frac{2-6x}{-3}
Divide both sides by -3.
y=\frac{2-6x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=2x-\frac{2}{3}
Divide 2-6x by -3.
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