Solve for x
x=\frac{8}{4-y}
y\neq 4
Solve for y
y=4-\frac{8}{x}
x\neq 0
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4x-8=yx
Use the distributive property to multiply 4 by x-2.
4x-8-yx=0
Subtract yx from both sides.
4x-yx=8
Add 8 to both sides. Anything plus zero gives itself.
\left(4-y\right)x=8
Combine all terms containing x.
\frac{\left(4-y\right)x}{4-y}=\frac{8}{4-y}
Divide both sides by -y+4.
x=\frac{8}{4-y}
Dividing by -y+4 undoes the multiplication by -y+4.
4x-8=yx
Use the distributive property to multiply 4 by x-2.
yx=4x-8
Swap sides so that all variable terms are on the left hand side.
xy=4x-8
The equation is in standard form.
\frac{xy}{x}=\frac{4x-8}{x}
Divide both sides by x.
y=\frac{4x-8}{x}
Dividing by x undoes the multiplication by x.
y=4-\frac{8}{x}
Divide -8+4x by x.
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