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SAT Math Practice Question #6468 - SATify | SATify

#6468

algebra

equations

manipulation

radicals

real numbers

simplification

medium

75 sec

$\frac{14 x}{7 y} = 2 w + 19$

The given equation relates the distinct positive real numbers $w$ , $x$ , and $y$ . Which equation correctly expresses $w$ in terms of $x$ and $y$ ?

A.

$w = \frac{x}{y} - 19$

B.

$w = \frac{28 x}{14 y} - 19$

C.

$w = (\frac{x}{y})^{2} - 19$

D.

$w = (\frac{28 x}{14 y})^{2} - 19$