Solve for x
x=\frac{4-y}{3}
Solve for y
y=4-3x
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6x+2y=8
Combine 3x and 3x to get 6x.
6x=8-2y
Subtract 2y from both sides.
\frac{6x}{6}=\frac{8-2y}{6}
Divide both sides by 6.
x=\frac{8-2y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{4-y}{3}
Divide 8-2y by 6.
6x+2y=8
Combine 3x and 3x to get 6x.
2y=8-6x
Subtract 6x from both sides.
\frac{2y}{2}=\frac{8-6x}{2}
Divide both sides by 2.
y=\frac{8-6x}{2}
Dividing by 2 undoes the multiplication by 2.
y=4-3x
Divide 8-6x by 2.
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