Solve for x
x=\frac{6y+2}{5}
Solve for y
y=\frac{5x}{6}-\frac{1}{3}
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5x=2+6y
Add 6y to both sides.
5x=6y+2
The equation is in standard form.
\frac{5x}{5}=\frac{6y+2}{5}
Divide both sides by 5.
x=\frac{6y+2}{5}
Dividing by 5 undoes the multiplication by 5.
-6y=2-5x
Subtract 5x from both sides.
\frac{-6y}{-6}=\frac{2-5x}{-6}
Divide both sides by -6.
y=\frac{2-5x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{5x}{6}-\frac{1}{3}
Divide 2-5x by -6.
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