Solve for x
x=-\frac{y}{3}
Solve for y
y=-3x
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6x+3y=y
Combine 2x and 4x to get 6x.
6x=y-3y
Subtract 3y from both sides.
6x=-2y
Combine y and -3y to get -2y.
\frac{6x}{6}=-\frac{2y}{6}
Divide both sides by 6.
x=-\frac{2y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{y}{3}
Divide -2y by 6.
6x+3y=y
Combine 2x and 4x to get 6x.
6x+3y-y=0
Subtract y from both sides.
6x+2y=0
Combine 3y and -y to get 2y.
2y=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
\frac{2y}{2}=-\frac{6x}{2}
Divide both sides by 2.
y=-\frac{6x}{2}
Dividing by 2 undoes the multiplication by 2.
y=-3x
Divide -6x by 2.
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