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x, plus, y, equals, x, y
Solve for x
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Solve for y
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x+y-xy=0
Subtract xy from both sides.
x-xy=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
\left(1-y\right)x=-y
Combine all terms containing x.
\frac{\left(1-y\right)x}{1-y}=-\frac{y}{1-y}
Divide both sides by 1-y.
x=-\frac{y}{1-y}
Dividing by 1-y undoes the multiplication by 1-y.
x+y-xy=0
Subtract xy from both sides.
y-xy=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
\left(1-x\right)y=-x
Combine all terms containing y.
\frac{\left(1-x\right)y}{1-x}=-\frac{x}{1-x}
Divide both sides by 1-x.
y=-\frac{x}{1-x}
Dividing by 1-x undoes the multiplication by 1-x.