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

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

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

solve for

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

x = \frac{zy}{y - z}; z \neq = y

Solution steps

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

Multiply by LCM

x y = x z + zy

Move

x z

to the left side

x y - x z = zy

Factor

x y - x z : x (y - z)

x (y - z) = zy

Divide both sides by

y - z; z \neq = y

x = \frac{zy}{y - z}; z \neq = y

\frac{900}{( 210 + x )} = 36

\frac{24}{x - 8} + 4 = \frac{20}{x - 8}

\frac{1}{x} = \frac{1}{3} + \frac{1}{6}

y, x = \frac{y - 2}{y + 2}

\frac{x ^{2} - 9 x + 20}{x ^{2} - 3 x + 4} = 0

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