Solve for g
g=-\frac{1}{xy}
x\neq 0\text{ and }y\neq 0
Solve for x
x=-\frac{1}{gy}
y\neq 0\text{ and }g\neq 0
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-7ygx=x+7-x
Subtract x from both sides.
-7ygx=7
Combine x and -x to get 0.
\left(-7xy\right)g=7
The equation is in standard form.
\frac{\left(-7xy\right)g}{-7xy}=\frac{7}{-7xy}
Divide both sides by -7yx.
g=\frac{7}{-7xy}
Dividing by -7yx undoes the multiplication by -7yx.
g=-\frac{1}{xy}
Divide 7 by -7yx.
x-7ygx-x=7
Subtract x from both sides.
-7ygx=7
Combine x and -x to get 0.
\left(-7gy\right)x=7
The equation is in standard form.
\frac{\left(-7gy\right)x}{-7gy}=\frac{7}{-7gy}
Divide both sides by -7yg.
x=\frac{7}{-7gy}
Dividing by -7yg undoes the multiplication by -7yg.
x=-\frac{1}{gy}
Divide 7 by -7yg.
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