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minus, 8, x, y, plus, 4, x, plus, 1, equals, 0
Solve for x
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-8xy+4x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
\left(-8y+4\right)x=-1
Combine all terms containing x.
\left(4-8y\right)x=-1
The equation is in standard form.
\frac{\left(4-8y\right)x}{4-8y}=\frac{-1}{4-8y}
Divide both sides by -8y+4.
x=\frac{-1}{4-8y}
Dividing by -8y+4 undoes the multiplication by -8y+4.
x=-\frac{1}{4\left(1-2y\right)}
Divide -1 by -8y+4.
-8xy+1=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.
-8xy=-4x-1
Subtract 1 from both sides.
\left(-8x\right)y=-4x-1
The equation is in standard form.
\frac{\left(-8x\right)y}{-8x}=\frac{-4x-1}{-8x}
Divide both sides by -8x.
y=\frac{-4x-1}{-8x}
Dividing by -8x undoes the multiplication by -8x.
y=\frac{1}{2}+\frac{1}{8x}
Divide -4x-1 by -8x.