Question

Solve using inverse operations.
-3/5x =2/5

A(-6/25
B(-1/5
C(2/3
D(-2/3

Answer 1

are you sure

Answer 2

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 \(x\), we can multiply both sides by the reciprocal of \(-\frac{3}{5}\), which is \(-\frac{5}{3}\):
\[
x = \frac{2}{5} \cdot -\frac{5}{3}
\]

3. Perform the multiplication:
\[
x = -\frac{2 \cdot 5}{5 \cdot 3} = -\frac{10}{15}
\]

4. Simplify \(-\frac{10}{15}\):
\[
x = -\frac{2}{3}
\]

So the solution is:
\[
x = -\frac{2}{3}
\]

Thus, the correct answer is **D (-2/3)**.

Answer 3

Yes, let's double-check the solution to ensure it’s accurate.

We start with the equation:
\[
-\frac{3}{5}x = \frac{2}{5}
\]

To isolate \(x\), we multiply both sides of the equation by the reciprocal of \(-\frac{3}{5}\), which is \(-\frac{5}{3}\):

\[
x = \frac{2}{5} \cdot -\frac{5}{3}
\]

Now let's calculate the right side step-by-step:

1. Multiply the numerators:
\[
2 \cdot -5 = -10
\]

2. Multiply the denominators:
\[
5 \cdot 3 = 15
\]

This gives us:
\[
x = \frac{-10}{15}
\]

Now, we can simplify \(-\frac{10}{15}\) by dividing both the numerator and the denominator by 5:
\[
x = -\frac{2}{3}
\]

So the confirmation of the answer is that \(x = -\frac{2}{3}\) is indeed correct.

Thus, the correct answer is **D (-2/3)**. Thank you for your patience!