SAT Math Practice Question #15360 - SATify | SATify

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SAT Math Practice Question #15360 - SATify | SATify

#15360

equations

algebra

hard

90 sec

The equation $\frac{1}{x} - \frac{3}{y} = \frac{5}{z}$ relates the variables $x, y,$ and $z$ , where $x, y, z > 0$ . Which expression is equivalent to $y$ ?

A.

$\frac{x z}{5 x - z}$

B.

$\frac{3 x z}{5 x - z}$

C.

$\frac{z - 5 x}{3 x z}$

D.

$\frac{3 x z}{z - 5 x}$