Solve for x
x=-\frac{2}{y}
y\neq 0
Solve for y
y=-\frac{2}{x}
x\neq 0
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-2=yx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
yx=-2
Swap sides so that all variable terms are on the left hand side.
\frac{yx}{y}=-\frac{2}{y}
Divide both sides by y.
x=-\frac{2}{y}
Dividing by y undoes the multiplication by y.
x=-\frac{2}{y}\text{, }x\neq 0
Variable x cannot be equal to 0.
-2=yx
Multiply both sides of the equation by x.
yx=-2
Swap sides so that all variable terms are on the left hand side.
xy=-2
The equation is in standard form.
\frac{xy}{x}=-\frac{2}{x}
Divide both sides by x.
y=-\frac{2}{x}
Dividing by x undoes the multiplication by x.
Examples
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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