Solve for x
x=-\frac{8}{y-6}
y\neq 6
Solve for y
y=6-\frac{8}{x}
x\neq 0
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8+xy=6x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
8+xy-6x=0
Subtract 6x from both sides.
xy-6x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
\left(y-6\right)x=-8
Combine all terms containing x.
\frac{\left(y-6\right)x}{y-6}=-\frac{8}{y-6}
Divide both sides by y-6.
x=-\frac{8}{y-6}
Dividing by y-6 undoes the multiplication by y-6.
x=-\frac{8}{y-6}\text{, }x\neq 0
Variable x cannot be equal to 0.
8+xy=6x
Multiply both sides of the equation by x.
xy=6x-8
Subtract 8 from both sides.
\frac{xy}{x}=\frac{6x-8}{x}
Divide both sides by x.
y=\frac{6x-8}{x}
Dividing by x undoes the multiplication by x.
y=6-\frac{8}{x}
Divide 6x-8 by x.
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