What is the answer to solvefor x, 1/x+1/y+1/z = 1/5 ?

The answer to solvefor x, 1/x+1/y+1/z = 1/5 is x=-(5yz)/(5z+5y-yz);\quad y\ne-(5z)/(5-z)

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solvefor x, 1/x+1/y+1/z = 1/5

solve for

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

x = - \frac{5 yz}{5 z + 5 y - yz}; y \neq = - \frac{5 z}{5 - z}

Solution steps

\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{5}

Multiply by LCM

5 yz + 5 x z + 5 x y = x yz

Move

5 yz

to the right side

5 x z + 5 x y = x yz - 5 yz

Move

x yz

to the left side

5 x z + 5 x y - x yz = - 5 yz

Factor

5 x z + 5 x y - x yz : x (5 z + 5 y - yz)

x (5 z + 5 y - yz) = - 5 yz

Divide both sides by

5 z + 5 y - yz; y \neq = - \frac{5 z}{5 - z}

x = - \frac{5 yz}{5 z + 5 y - yz}; y \neq = - \frac{5 z}{5 - z}

x, 82 f = \frac{6}{( 2 - 4 x )}

\frac{1}{2 ( 4 - x )} = 8 - 2.5 x

0.25 = \frac{1}{n}

\frac{e ^{- 4}}{t} = \frac{1}{4}

\frac{( 5 + x )}{( 5 - x )} - \frac{( 5 - x )}{( 5 + x )} = \frac{33}{4}

What is the answer to solvefor x, 1/x+1/y+1/z = 1/5 ?
The answer to solvefor x, 1/x+1/y+1/z = 1/5 is x=-(5yz)/(5z+5y-yz);\quad y\ne-(5z)/(5-z)