Solve: $$ \frac{a}{a-1}=-\frac{4}{3} $$ Provide your answer below: $$ a=\square $$

Question

UpStudy AI · Accepted Answer

1. Start with the equation:
   
   $$
   \frac{a}{a-1} = -\frac{4}{3}
   $$

2. Cross multiply to eliminate the fractions:
   
   $$
   3a = -4(a-1)
   $$

3. Expand the right-hand side:

$$
   3a = -4a + 4
   $$

4. Add $$4a$$ to both sides to combine like terms:

$$
   3a + 4a = 4
   $$
   
   $$
   7a = 4
   $$

5. Divide both sides by $$7$$ to solve for $$a$$:

$$
   a = \frac{4}{7}
   $$

$$ a=\frac{4}{7} $$
$$ a = \frac{4}{7} $$

Solve: \( \frac{a}{a-1}=-\frac{4}{3} \) Provide your answer below: \( a=\square \)