Solve for x
x=\frac{10-2y}{3}
Solve for y
y=-\frac{3x}{2}+5
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-6x+7=4y-13
Swap sides so that all variable terms are on the left hand side.
-6x=4y-13-7
Subtract 7 from both sides.
-6x=4y-20
Subtract 7 from -13 to get -20.
\frac{-6x}{-6}=\frac{4y-20}{-6}
Divide both sides by -6.
x=\frac{4y-20}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{10-2y}{3}
Divide -20+4y by -6.
4y=-6x+7+13
Add 13 to both sides.
4y=-6x+20
Add 7 and 13 to get 20.
4y=20-6x
The equation is in standard form.
\frac{4y}{4}=\frac{20-6x}{4}
Divide both sides by 4.
y=\frac{20-6x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x}{2}+5
Divide -6x+20 by 4.
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