Solve using inverse operations.

Question

-3/5x = 2/5



A
−15-\frac{1}{5}−
5
1
​


B
23\frac{2}{3}
3
2
​


C
−23-\frac{2}{3}−
3
2
​


D
−625-\frac{6}{25}−
25
6
​

Answer 1

To solve the equation $-\frac{3}{5}x=\frac{2}{5}$ using inverse operations, we need to isolate $x$.

1. Start with the equation: $$-\frac{3}{5}x=\frac{2}{5}$$

2. To isolate $x$, multiply both sides by the reciprocal of $-\frac{3}{5}$, which is $-\frac{5}{3}$: $$x=\frac{2}{5}\cdot -\frac{5}{3}$$

3. Multiply the fractions: $$x=-\frac{2\cdot 5}{5\cdot 3}=-\frac{10}{15}$$

4. Simplify $-\frac{10}{15}$: $$x=-\frac{2}{3}$$

The solution $x=-\frac{2}{3}$ means we need to check which answer option corresponds to this fraction.

Looking at the answer choices:

• A: $-15\frac{1}{5}$
• B: $23\frac{2}{3}$
• C: $-23-\frac{2}{3}$
• D: $-625-\frac{6}{25}$

The answer that matches $x=-\frac{2}{3}$ is in option C: $-23-\frac{2}{3}$.

Thus, the correct answer is C.