To solve for \( u \) in the equation \( y = \frac{3}{5}u + 5 \), follow these steps:

### Step 1: Subtract 5 from both sides
\[
y - 5 = \frac{3}{5}u
\]

### Step 2: Multiply both sides by the reciprocal of \( \frac{3}{5} \), which is \( \frac{5}{3} \)
\[
u = \frac{5}{3}(y - 5)
\]

### Final Answer:
\[
u = \frac{5}{3}(y - 5)
\]

This is the solution for \( u \).

Would you like further details or have any questions?

Here are five related questions for practice:
1. What is \( u \) if \( y = 10 \)?
2. How does the equation change if the slope is \( \frac{4}{5} \) instead of \( \frac{3}{5} \)?
3. Solve for \( y \) if \( u = 6 \).
4. How would the solution process change if the constant term was different, say 7 instead of 5?
5. What is the general approach to solving linear equations for any variable?

**Tip:** When solving for a variable, isolate it by reversing the operations applied to it in the equation.

Learn how to solve the linear equation y = 3/5u + 5 for the variable u with a detailed step-by-step solution. This problem introduces key algebraic concepts such as isolating variables and using reciprocals. Suitable for students in Grades 6-8.

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