What is the answer to solvefor a,y=x((ab)/(a-b)) ?

The answer to solvefor a,y=x((ab)/(a-b)) is a=(yb)/(y-xb);\quad y\ne xb

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solvefor a,y=x((ab)/(a-b))

solve for

a, y = x (\frac{ab}{a - b})

a = \frac{y b}{y - x b}; y \neq = x b

Solution steps

y = x (\frac{ab}{a - b})

Simplify

x (\frac{ab}{a - b}) : \frac{a x b}{a - b}

y = \frac{a x b}{a - b}

Multiply both sides by

a - b

y (a - b) = a x b

Expand

y (a - b) : a y - y b

a y - y b = a x b

Move

y b

to the right side

a y = a x b + y b

Move

a x b

to the left side

a y - a x b = y b

Factor

a y - a x b : a (y - x b)

a (y - x b) = y b

Divide both sides by

y - x b; y \neq = x b

a = \frac{y b}{y - x b}; y \neq = x b

y, x = \frac{y - 1}{y + 5}

y, x = \frac{y - 1}{y + 1}

b, a = \frac{h}{b}

\frac{7}{x + 3} = \frac{4}{12}

\frac{p + 4}{3} = \frac{13}{p - 6}

What is the answer to solvefor a,y=x((ab)/(a-b)) ?
The answer to solvefor a,y=x((ab)/(a-b)) is a=(yb)/(y-xb);\quad y\ne xb