Question

select the correct answer.
which property of equality was used to solve this equation?
$-5x = 4$
$\frac{-5x}{-5} = \frac{4}{-5}$
$x = -\frac{4}{5}$
a. addition property of equality
b. subtraction property of equality
c. multiplication property of equality
d. division property of equality

Explanation:

To solve \(-5x = 4\), we divide both sides by \(-5\) (or multiply both sides by \(\frac{1}{-5}\)). The division property of equality states that if \(a = b\) and \(c
eq0\), then \(\frac{a}{c}=\frac{b}{c}\). Here, we divided both sides of \(-5x = 4\) by \(-5\) to get \(x=\frac{4}{-5}=-\frac{4}{5}\), which uses the division property of equality. Option D matches this.

Answer:

D. division property of equality