Choose the one alternative that best completes the statement or answers the question.
Without actually solving the equation, list all possible numbers that would have to be rejected if they appeared as
potential solutions.
-$\frac{7}{19 x}-\frac{17}{20 x}=\frac{x}{15}$

A) 19,20
B) $19,20,15$
C) 0
D) There are no numbers that would have to be rejected.

Question

Choose the one alternative that best completes the statement or answers the question.
Without actually solving the equation, list all possible numbers that would have to be rejected if they appeared as
potential solutions.
-$\frac{7}{19 x}-\frac{17}{20 x}=\frac{x}{15}$

A) 19,20
B) $19,20,15$
C) 0
D) There are no numbers that would have to be rejected.

Quizplus · Accepted Answer

To determine the numbers that must be rejected from the potential solutions, we need to identify values that would make any denominators in the equation equal to zero. The denominators are $19x$, $20x$, and $15$. None of these denominators will be zero due to the constants (19, 20, and 15). The only value that would make the denominators $19x$ and $20x$ equal to zero is $x = 0$. The denominator $15$ does not depend on $x$ and thus cannot be zero due to a choice of $x$. Therefore, the only number that needs to be rejected is $0$.

Choose the One Alternative That Best Completes the Statement or Answers