Solve for p
p=\frac{y}{e}
x\neq 0
Solve for x
x\neq 0
y=ep
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yx=exp\times 1
Multiply both sides of the equation by x.
exp\times 1=yx
Swap sides so that all variable terms are on the left hand side.
epx=xy
Reorder the terms.
exp=xy
The equation is in standard form.
\frac{exp}{ex}=\frac{xy}{ex}
Divide both sides by ex.
p=\frac{xy}{ex}
Dividing by ex undoes the multiplication by ex.
p=\frac{y}{e}
Divide xy by ex.
yx=exp\times 1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
yx-exp\times 1=0
Subtract exp\times 1 from both sides.
xy-epx=0
Reorder the terms.
\left(y-ep\right)x=0
Combine all terms containing x.
x=0
Divide 0 by y-ep.
x\in \emptyset
Variable x cannot be equal to 0.
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