What is the answer to solvefor h,v=(qh)/(q+h) ?

The answer to solvefor h,v=(qh)/(q+h) is h=-(vq)/(v-q);\quad v\ne q

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solvefor h,v=(qh)/(q+h)

solve for

h, v = \frac{q h}{q + h}

h = - \frac{v q}{v - q}; v \neq = q

Solution steps

v = \frac{q h}{q + h}

Multiply both sides by

q + h

v (q + h) = q h

Expand

v (q + h) : v q + v h

v q + v h = q h

Move

v q

to the right side

v h = q h - v q

Move

q h

to the left side

v h - q h = - v q

Factor

v h - q h : h (v - q)

h (v - q) = - v q

Divide both sides by

v - q; v \neq = q

h = - \frac{v q}{v - q}; v \neq = q

\frac{5}{x} = \frac{6}{x - 10}

11 - \frac{22}{x} = 4 + \frac{6}{x}

\frac{( x - 1 ) ( 2 x + 84 )}{x} - 84 = 0

x^{4} + \frac{1}{x ^{4}} = 47

\frac{2 x - 4}{x - 2} = \frac{1}{3}

What is the answer to solvefor h,v=(qh)/(q+h) ?
The answer to solvefor h,v=(qh)/(q+h) is h=-(vq)/(v-q);\quad v\ne q