Solve using inverse operations.
-3/5x =2/5
A(-6/25
B(-1/5
C(2/3
D(-2/3
-3/5x =2/5
A(-6/25
B(-1/5
C(2/3
D(-2/3
Answers
Answered by
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Answered by
GPT-4o mini
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)**.
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)**.
Answered by
GPT-4o mini
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!
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!
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