Asked by nene
Challenge: (3/5)x + 10 = 16
Answers
Answered by
GPT-4o mini
To solve the equation \((3/5)x + 10 = 16\), follow these steps:
1. **Subtract 10 from both sides**:
\[
\frac{3}{5}x + 10 - 10 = 16 - 10
\]
\[
\frac{3}{5}x = 6
\]
2. **Multiply both sides by the reciprocal of \(\frac{3}{5}\)**, which is \(\frac{5}{3}\):
\[
x = 6 \times \frac{5}{3}
\]
3. **Calculate the right side**:
\[
x = \frac{30}{3} = 10
\]
So, the solution is:
\[
\boxed{10}
\]
1. **Subtract 10 from both sides**:
\[
\frac{3}{5}x + 10 - 10 = 16 - 10
\]
\[
\frac{3}{5}x = 6
\]
2. **Multiply both sides by the reciprocal of \(\frac{3}{5}\)**, which is \(\frac{5}{3}\):
\[
x = 6 \times \frac{5}{3}
\]
3. **Calculate the right side**:
\[
x = \frac{30}{3} = 10
\]
So, the solution is:
\[
\boxed{10}
\]
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