Question

week 6: solving linear equations pt. 2
due sunday by 11:59pm points 10 submitting an external tool
$-\frac{5x}{4} - \frac{3}{2} = -\frac{1}{2}$
select the correct answer below:
$\frac{4}{5}$
$-\frac{12}{5}$
$-\frac{8}{5}$
$-\frac{4}{5}$
$\frac{2}{5}$
$-\frac{6}{5}$

Explanation:

Step1: Add \(\frac{3}{2}\) to both sides

$$-\frac{5x}{4}-\frac{3}{2}+\frac{3}{2}=-\frac{1}{2}+\frac{3}{2}$$
$$-\frac{5x}{4}=1$$

Step2: Multiply both sides by \(-\frac{4}{5}\)

$$x = 1\times(-\frac{4}{5})$$

Answer:

\(-\frac{4}{5}\)