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Solve for y (complex solution)
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Solve for y
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Solve for x (complex solution)
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Solve for x
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yx^{2}+y=x
Add x to both sides. Anything plus zero gives itself.
\left(x^{2}+1\right)y=x
Combine all terms containing y.
\frac{\left(x^{2}+1\right)y}{x^{2}+1}=\frac{x}{x^{2}+1}
Divide both sides by x^{2}+1.
y=\frac{x}{x^{2}+1}
Dividing by x^{2}+1 undoes the multiplication by x^{2}+1.
yx^{2}+y=x
Add x to both sides. Anything plus zero gives itself.
\left(x^{2}+1\right)y=x
Combine all terms containing y.
\frac{\left(x^{2}+1\right)y}{x^{2}+1}=\frac{x}{x^{2}+1}
Divide both sides by x^{2}+1.
y=\frac{x}{x^{2}+1}
Dividing by x^{2}+1 undoes the multiplication by x^{2}+1.