Solve for x
x=\frac{3y}{2}+5
Solve for y
y=\frac{2\left(x-5\right)}{3}
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2x=10+3y
Add 3y to both sides.
2x=3y+10
The equation is in standard form.
\frac{2x}{2}=\frac{3y+10}{2}
Divide both sides by 2.
x=\frac{3y+10}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{3y}{2}+5
Divide 10+3y by 2.
-3y=10-2x
Subtract 2x from both sides.
\frac{-3y}{-3}=\frac{10-2x}{-3}
Divide both sides by -3.
y=\frac{10-2x}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{2x-10}{3}
Divide 10-2x by -3.
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