Solve for x
x=-\frac{7}{y}
y\neq 0
Solve for y
y=-\frac{7}{x}
x\neq 0
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yx+7=0
Multiply both sides of the equation by y.
yx=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
\frac{yx}{y}=-\frac{7}{y}
Divide both sides by y.
x=-\frac{7}{y}
Dividing by y undoes the multiplication by y.
yx+7=0
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.
yx=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
xy=-7
The equation is in standard form.
\frac{xy}{x}=-\frac{7}{x}
Divide both sides by x.
y=-\frac{7}{x}
Dividing by x undoes the multiplication by x.
y=-\frac{7}{x}\text{, }y\neq 0
Variable y cannot be equal to 0.
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