Solve for x
x=\frac{38-2y}{3}
Solve for y
y=-\frac{3x}{2}+19
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3x+2y=38
Swap sides so that all variable terms are on the left hand side.
3x=38-2y
Subtract 2y from both sides.
\frac{3x}{3}=\frac{38-2y}{3}
Divide both sides by 3.
x=\frac{38-2y}{3}
Dividing by 3 undoes the multiplication by 3.
3x+2y=38
Swap sides so that all variable terms are on the left hand side.
2y=38-3x
Subtract 3x from both sides.
\frac{2y}{2}=\frac{38-3x}{2}
Divide both sides by 2.
y=\frac{38-3x}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{3x}{2}+19
Divide 38-3x by 2.
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