Solve for x
x=-\frac{9y}{4}+\frac{3}{2}
Solve for y
y=-\frac{4x}{9}+\frac{2}{3}
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4x+9y=6
Swap sides so that all variable terms are on the left hand side.
4x=6-9y
Subtract 9y from both sides.
\frac{4x}{4}=\frac{6-9y}{4}
Divide both sides by 4.
x=\frac{6-9y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{9y}{4}+\frac{3}{2}
Divide 6-9y by 4.
4x+9y=6
Swap sides so that all variable terms are on the left hand side.
9y=6-4x
Subtract 4x from both sides.
\frac{9y}{9}=\frac{6-4x}{9}
Divide both sides by 9.
y=\frac{6-4x}{9}
Dividing by 9 undoes the multiplication by 9.
y=-\frac{4x}{9}+\frac{2}{3}
Divide 6-4x by 9.
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