Solve for x
x=7-\frac{2}{y}
y\neq 0
Solve for y
y=-\frac{2}{x-7}
x\neq 7
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yx+2=7y
Multiply both sides of the equation by y.
yx=7y-2
Subtract 2 from both sides.
\frac{yx}{y}=\frac{7y-2}{y}
Divide both sides by y.
x=\frac{7y-2}{y}
Dividing by y undoes the multiplication by y.
x=7-\frac{2}{y}
Divide 7y-2 by y.
yx+2=7y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.
yx+2-7y=0
Subtract 7y from both sides.
yx-7y=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
\left(x-7\right)y=-2
Combine all terms containing y.
\frac{\left(x-7\right)y}{x-7}=-\frac{2}{x-7}
Divide both sides by x-7.
y=-\frac{2}{x-7}
Dividing by x-7 undoes the multiplication by x-7.
y=-\frac{2}{x-7}\text{, }y\neq 0
Variable y cannot be equal to 0.
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Integration
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Limits
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