Solve for x
x=\frac{8}{8-y}
y\neq 8
Solve for y
y=8-\frac{8}{x}
x\neq 0
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y\times 2x=2\left(8x-8\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x.
y\times 2x=16x-16
Use the distributive property to multiply 2 by 8x-8.
y\times 2x-16x=-16
Subtract 16x from both sides.
\left(y\times 2-16\right)x=-16
Combine all terms containing x.
\left(2y-16\right)x=-16
The equation is in standard form.
\frac{\left(2y-16\right)x}{2y-16}=-\frac{16}{2y-16}
Divide both sides by 2y-16.
x=-\frac{16}{2y-16}
Dividing by 2y-16 undoes the multiplication by 2y-16.
x=-\frac{8}{y-8}
Divide -16 by 2y-16.
x=-\frac{8}{y-8}\text{, }x\neq 0
Variable x cannot be equal to 0.
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