SAT Math Practice Question #14168 - SATify | SATify

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SAT Math Practice Question #14168 - SATify | SATify

#14168

algebra

expressions

hard

105 sec

The given equation relates the positive variables $x, y, z,$ and $w$ . Which of the following is equivalent to $y$ ?
$\frac{5}{x} = \frac{5}{y} - \frac{5}{z} - \frac{5}{w}$

A.

$x + z + w$

B.

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

C.

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

D.

$5 (z w + x w + x z)$