Solve for x
x=-\frac{3y}{2}-\frac{1}{6}
Solve for y
y=-\frac{2x}{3}-\frac{1}{9}
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6x+1=-9y
Subtract 9y from both sides. Anything subtracted from zero gives its negation.
6x=-9y-1
Subtract 1 from both sides.
\frac{6x}{6}=\frac{-9y-1}{6}
Divide both sides by 6.
x=\frac{-9y-1}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{3y}{2}-\frac{1}{6}
Divide -9y-1 by 6.
9y+1=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
9y=-6x-1
Subtract 1 from both sides.
\frac{9y}{9}=\frac{-6x-1}{9}
Divide both sides by 9.
y=\frac{-6x-1}{9}
Dividing by 9 undoes the multiplication by 9.
y=-\frac{2x}{3}-\frac{1}{9}
Divide -6x-1 by 9.
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