Solve for x
x=-\frac{2y}{1-21y}
y\neq \frac{1}{21}
Solve for y
y=-\frac{x}{2-21x}
x\neq \frac{2}{21}
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x+2y-21xy=0
Subtract 21xy from both sides.
x-21xy=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
\left(1-21y\right)x=-2y
Combine all terms containing x.
\frac{\left(1-21y\right)x}{1-21y}=-\frac{2y}{1-21y}
Divide both sides by 1-21y.
x=-\frac{2y}{1-21y}
Dividing by 1-21y undoes the multiplication by 1-21y.
x+2y-21xy=0
Subtract 21xy from both sides.
2y-21xy=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
\left(2-21x\right)y=-x
Combine all terms containing y.
\frac{\left(2-21x\right)y}{2-21x}=-\frac{x}{2-21x}
Divide both sides by 2-21x.
y=-\frac{x}{2-21x}
Dividing by 2-21x undoes the multiplication by 2-21x.
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Limits
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