Solve for x
x=\frac{6}{2y+1}
y\neq -\frac{1}{2}
Solve for y
y=-\frac{1}{2}+\frac{3}{x}
x\neq 0
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\left(2y+1\right)x=6
Combine all terms containing x.
\frac{\left(2y+1\right)x}{2y+1}=\frac{6}{2y+1}
Divide both sides by 2y+1.
x=\frac{6}{2y+1}
Dividing by 2y+1 undoes the multiplication by 2y+1.
2xy=6-x
Subtract x from both sides.
\frac{2xy}{2x}=\frac{6-x}{2x}
Divide both sides by 2x.
y=\frac{6-x}{2x}
Dividing by 2x undoes the multiplication by 2x.
y=-\frac{1}{2}+\frac{3}{x}
Divide 6-x by 2x.
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