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3x+3y=14
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x=14-3y
Subtract 3y from both sides.
\frac{3x}{3}=\frac{14-3y}{3}
Divide both sides by 3.
x=\frac{14-3y}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{14}{3}-y
Divide 14-3y by 3.
3x+3y=14
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3y=14-3x
Subtract 3x from both sides.
\frac{3y}{3}=\frac{14-3x}{3}
Divide both sides by 3.
y=\frac{14-3x}{3}
Dividing by 3 undoes the multiplication by 3.
y=\frac{14}{3}-x
Divide 14-3x by 3.