SAT Math Practice Question #35944 - SATify | SATify

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SAT Math Practice Question #35944 - SATify | SATify

#35944

expressions

algebra

hard

120 sec

The equation $\frac{1}{x} + \frac{1}{y} = \frac{1}{z} - \frac{1}{w}$ relates positive variables $x, y, z,$ and $w$ . Which of the following is equivalent to $z$ ?

A.

$\frac{x y w}{x y + y w + x w}$

B.

$\frac{x y w}{x y - y w - x w}$

C.

$\frac{x y w}{y w + x w - x y}$

D.

$\frac{1}{x + y - w}$