Solve for x
x=-\frac{y}{2}+2
Solve for y
y=4-2x
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2\times 3x+3y=12
Multiply both sides of the equation by 12, the least common multiple of 6,4.
6x+3y=12
Multiply 2 and 3 to get 6.
6x=12-3y
Subtract 3y from both sides.
\frac{6x}{6}=\frac{12-3y}{6}
Divide both sides by 6.
x=\frac{12-3y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{y}{2}+2
Divide 12-3y by 6.
2\times 3x+3y=12
Multiply both sides of the equation by 12, the least common multiple of 6,4.
6x+3y=12
Multiply 2 and 3 to get 6.
3y=12-6x
Subtract 6x from both sides.
\frac{3y}{3}=\frac{12-6x}{3}
Divide both sides by 3.
y=\frac{12-6x}{3}
Dividing by 3 undoes the multiplication by 3.
y=4-2x
Divide 12-6x by 3.
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