Solve for x
x=\frac{100}{y}
y\neq 0
Solve for y
y=\frac{100}{x}
x\neq 0
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100=yx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
yx=100
Swap sides so that all variable terms are on the left hand side.
\frac{yx}{y}=\frac{100}{y}
Divide both sides by y.
x=\frac{100}{y}
Dividing by y undoes the multiplication by y.
x=\frac{100}{y}\text{, }x\neq 0
Variable x cannot be equal to 0.
100=yx
Multiply both sides of the equation by x.
yx=100
Swap sides so that all variable terms are on the left hand side.
xy=100
The equation is in standard form.
\frac{xy}{x}=\frac{100}{x}
Divide both sides by x.
y=\frac{100}{x}
Dividing by x undoes the multiplication by x.
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