Solve for x
x=\frac{4}{y-2}
y\neq 2
Solve for y
y=2+\frac{4}{x}
x\neq 0
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xy-2x=4
Subtract 2x from both sides.
\left(y-2\right)x=4
Combine all terms containing x.
\frac{\left(y-2\right)x}{y-2}=\frac{4}{y-2}
Divide both sides by y-2.
x=\frac{4}{y-2}
Dividing by y-2 undoes the multiplication by y-2.
xy=2x+4
The equation is in standard form.
\frac{xy}{x}=\frac{2x+4}{x}
Divide both sides by x.
y=\frac{2x+4}{x}
Dividing by x undoes the multiplication by x.
y=2+\frac{4}{x}
Divide 4+2x by x.
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