Solve for x
x=\frac{12-4y}{5}
Solve for y
y=-\frac{5x}{4}+3
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3x+4y+2x=12
Add 2x to both sides.
5x+4y=12
Combine 3x and 2x to get 5x.
5x=12-4y
Subtract 4y from both sides.
\frac{5x}{5}=\frac{12-4y}{5}
Divide both sides by 5.
x=\frac{12-4y}{5}
Dividing by 5 undoes the multiplication by 5.
4y=12-2x-3x
Subtract 3x from both sides.
4y=12-5x
Combine -2x and -3x to get -5x.
\frac{4y}{4}=\frac{12-5x}{4}
Divide both sides by 4.
y=\frac{12-5x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{5x}{4}+3
Divide 12-5x by 4.
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