Question

which value is equivalent to \\(\frac{x - 7}{7 - x}\\)?
\\(\circ\\) \\(-7\\)
\\(\circ\\) \\(-1\\)
\\(\circ\\) \\(7\\)

Explanation:

Step1: Factor out -1 from numerator

Notice that \( x - 7 = -1\times(7 - x) \). So we can rewrite the numerator as \( -1\times(7 - x) \).
The expression becomes \( \frac{-1\times(7 - x)}{7 - x} \).

Step2: Cancel common terms

Assuming \( 7 - x
eq0 \) (to avoid division by zero), we can cancel out the common factor \( 7 - x \) from the numerator and the denominator.
After canceling, we are left with \( -1 \).

Answer:

-1