Solve using inverse operations.

Question

-3/5x =2/5

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

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 \(x\), 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 2

are you sure

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!