Solve for x
x=\frac{y-2}{3}
Solve for y
y=3x+2
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-15x-10=-5y
Subtract 5y from both sides. Anything subtracted from zero gives its negation.
-15x=-5y+10
Add 10 to both sides.
-15x=10-5y
The equation is in standard form.
\frac{-15x}{-15}=\frac{10-5y}{-15}
Divide both sides by -15.
x=\frac{10-5y}{-15}
Dividing by -15 undoes the multiplication by -15.
x=\frac{y-2}{3}
Divide -5y+10 by -15.
5y-10=15x
Add 15x to both sides. Anything plus zero gives itself.
5y=15x+10
Add 10 to both sides.
\frac{5y}{5}=\frac{15x+10}{5}
Divide both sides by 5.
y=\frac{15x+10}{5}
Dividing by 5 undoes the multiplication by 5.
y=3x+2
Divide 15x+10 by 5.
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