What is the answer to solvefor m, 1/m+2/n = 1/2 ?

The answer to solvefor m, 1/m+2/n = 1/2 is m=-(2n)/(4-n);\quad n\ne 4

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solvefor m, 1/m+2/n = 1/2

solve for

m, \frac{1}{m} + \frac{2}{n} = \frac{1}{2}

m = - \frac{2 n}{4 - n}; n \neq = 4

Solution steps

\frac{1}{m} + \frac{2}{n} = \frac{1}{2}

Multiply by LCM

2 n + 4 m = mn

Move

2 n

to the right side

4 m = mn - 2 n

Move

mn

to the left side

4 m - mn = - 2 n

Factor

4 m - mn : m (4 - n)

m (4 - n) = - 2 n

Divide both sides by

4 - n; n \neq = 4

m = - \frac{2 n}{4 - n}; n \neq = 4

\frac{2}{3 \cdot ( x + \frac{3}{5} )} = \frac{7}{2}

\frac{3 x}{2 x + 6} = \frac{6}{5}

\frac{1}{( m + n + x )} = \frac{1}{m} + \frac{1}{n} + \frac{1}{x}

x, \frac{2}{x} + \frac{3}{y} = 13

\frac{( x + \frac{1}{x} ) ^{2} - 3}{2 ( x - \frac{1}{x} )} = 4

What is the answer to solvefor m, 1/m+2/n = 1/2 ?
The answer to solvefor m, 1/m+2/n = 1/2 is m=-(2n)/(4-n);\quad n\ne 4