Solve for x
x=-\frac{5y}{3-8y}
y\neq \frac{3}{8}
Solve for y
y=-\frac{3x}{5-8x}
x\neq \frac{5}{8}
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3x+5y-8xy=0
Subtract 8xy from both sides.
3x-8xy=-5y
Subtract 5y from both sides. Anything subtracted from zero gives its negation.
\left(3-8y\right)x=-5y
Combine all terms containing x.
\frac{\left(3-8y\right)x}{3-8y}=-\frac{5y}{3-8y}
Divide both sides by 3-8y.
x=-\frac{5y}{3-8y}
Dividing by 3-8y undoes the multiplication by 3-8y.
3x+5y-8xy=0
Subtract 8xy from both sides.
5y-8xy=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
\left(5-8x\right)y=-3x
Combine all terms containing y.
\frac{\left(5-8x\right)y}{5-8x}=-\frac{3x}{5-8x}
Divide both sides by 5-8x.
y=-\frac{3x}{5-8x}
Dividing by 5-8x undoes the multiplication by 5-8x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}