Question

solve for u.
$-\frac{3}{2} - \frac{4}{3}u = -\frac{3}{5}$
simplify your answer as much as possible.

Explanation:

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

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

Simplify both sides:
$-\frac{4}{3}u = -\frac{6}{10} + \frac{15}{10}$

$-\frac{4}{3}u = \frac{9}{10}$

Step2: Multiply both sides by $-\frac{3}{4}$

$u = \frac{9}{10} \times (-\frac{3}{4})$

$u = -\frac{27}{40}$

Answer:

$u = -\frac{27}{40}$