What is the answer to solvefor a,(a+b)/a =b ?

The answer to solvefor a,(a+b)/a =b is a=-b/(1-b);\quad b\ne 1

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solvefor a,(a+b)/a =b

solve for

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

a = - \frac{b}{1 - b}; b \neq = 1

Solution steps

\frac{a + b}{a} = b

Multiply both sides by

a

a + b = ba

Move

b

to the right side

a = ba - b

Move

ba

to the left side

a - ba = - b

Factor

a - ba : a (1 - b)

a (1 - b) = - b

Divide both sides by

1 - b; b \neq = 1

a = - \frac{b}{1 - b}; b \neq = 1

\frac{3 x}{x + 2} = 7 - \frac{6}{x + 2}

3 x^{- 2} + 7 x^{- 1} + 2 = 0

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

F, M = \frac{d}{F}

b, \frac{( k - c )}{c - b} = 0

What is the answer to solvefor a,(a+b)/a =b ?
The answer to solvefor a,(a+b)/a =b is a=-b/(1-b);\quad b\ne 1