What is the answer to solvefor a, 1/a+1/b = 5/6 ?

The answer to solvefor a, 1/a+1/b = 5/6 is a=-(6b)/(6-5b);\quad b\ne 6/5

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solvefor a, 1/a+1/b = 5/6

solve for

a, \frac{1}{a} + \frac{1}{b} = \frac{5}{6}

a = - \frac{6 b}{6 - 5 b}; b \neq = \frac{6}{5}

Solution steps

\frac{1}{a} + \frac{1}{b} = \frac{5}{6}

Multiply by LCM

6 b + 6 a = 5 ab

Move

6 b

to the right side

6 a = 5 ab - 6 b

Move

5 ab

to the left side

6 a - 5 ab = - 6 b

Factor

6 a - 5 ab : a (6 - 5 b)

a (6 - 5 b) = - 6 b

Divide both sides by

6 - 5 b; b \neq = \frac{6}{5}

a = - \frac{6 b}{6 - 5 b}; b \neq = \frac{6}{5}

\frac{x ^{2} + 3 x - 20}{x ^{2} + 3 x} = 8

\frac{a}{( x - b )} + \frac{b}{( x - a )} = 2

\frac{( n + 2 ) !}{n !} = 6

x, \frac{x ^{5}}{y ^{5}} + \frac{y ^{5}}{x ^{5}} = 2525

t, \frac{( s - 2 )}{t} = \frac{1}{p} + \frac{1}{r}

What is the answer to solvefor a, 1/a+1/b = 5/6 ?
The answer to solvefor a, 1/a+1/b = 5/6 is a=-(6b)/(6-5b);\quad b\ne 6/5