Answer
$a=\frac{by}{y-bx}$
Work Step by Step
The given equation is
$\Rightarrow y=x(\frac{ab}{a-b})$
Multiply each side by $a-b$.
$\Rightarrow (a-b)\cdot y=(a-b)\cdot x(\frac{ab}{a-b})$
Simplify.
$\Rightarrow (a-b)\cdot y=abx$
Use distributive property.
$\Rightarrow ay-by=abx$
Add $by$ to each side.
$\Rightarrow ay-by+by=abx+by$
Simplify.
$\Rightarrow ay=abx+by$
Subtract $abx$ from each side.
$\Rightarrow ay-abx=abx+by-abx$
Simplify.
$\Rightarrow ay-abx=by$
Use distributive property.
$\Rightarrow a(y-bx)=by$
Divide both sides by $y-bx$.
$\Rightarrow \frac{a(y-bx)}{y-bx}=\frac{by}{y-bx}$
Simplify.
$\Rightarrow a=\frac{by}{y-bx}$
Hence, the rewritten literal equation is $a=\frac{by}{y-bx}$.
