Solve for x
x=10-\frac{14}{y}
y\neq 0
Solve for y
y=\frac{14}{10-x}
x\neq 10
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yx-10y=-14
Multiply both sides of the equation by -2.
yx=-14+10y
Add 10y to both sides.
yx=10y-14
The equation is in standard form.
\frac{yx}{y}=\frac{10y-14}{y}
Divide both sides by y.
x=\frac{10y-14}{y}
Dividing by y undoes the multiplication by y.
x=10-\frac{14}{y}
Divide 10y-14 by y.
yx-10y=-14
Multiply both sides of the equation by -2.
\left(x-10\right)y=-14
Combine all terms containing y.
\frac{\left(x-10\right)y}{x-10}=-\frac{14}{x-10}
Divide both sides by x-10.
y=-\frac{14}{x-10}
Dividing by x-10 undoes the multiplication by x-10.
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