Solve for x
x=\frac{6}{2-y}
y\neq 2
Solve for y
y=2-\frac{6}{x}
x\neq 0
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2x-6=xy
Multiply both sides of the equation by 2.
2x-6-xy=0
Subtract xy from both sides.
2x-xy=6
Add 6 to both sides. Anything plus zero gives itself.
\left(2-y\right)x=6
Combine all terms containing x.
\frac{\left(2-y\right)x}{2-y}=\frac{6}{2-y}
Divide both sides by 2-y.
x=\frac{6}{2-y}
Dividing by 2-y undoes the multiplication by 2-y.
2x-6=xy
Multiply both sides of the equation by 2.
xy=2x-6
Swap sides so that all variable terms are on the left hand side.
\frac{xy}{x}=\frac{2x-6}{x}
Divide both sides by x.
y=\frac{2x-6}{x}
Dividing by x undoes the multiplication by x.
y=2-\frac{6}{x}
Divide -6+2x by x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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