The given equation is:

\[
u - \frac{9}{2} = -\frac{5}{2}
\]

Let's solve it step-by-step.

### Step 1: Add \(\frac{9}{2}\) to both sides
\[
u - \frac{9}{2} + \frac{9}{2} = -\frac{5}{2} + \frac{9}{2}
\]
\[
u = \frac{4}{2}
\]

### Step 2: Simplify \(\frac{4}{2}\)
\[
u = 2
\]

The solution is:
\[
u = 2
\]

Would you like more details or have any questions?

### Here are 5 related questions:
1. How do you solve equations involving fractions in general?
2. What happens if you multiply both sides of an equation by a common denominator?
3. How would you handle this if there were variables in the denominator?
4. How can you check your solution is correct?
5. How do we isolate variables when more complex expressions are involved?

### Tip:
Always perform the same operation on both sides of an equation to maintain equality!

Learn how to solve the linear equation u - 9/2 = -5/2 step-by-step. This problem involves adding fractions and isolating variables, covering core algebraic concepts suitable for Grades 6-8.

Math Problem Statement

Solve: u − 9/ 2

Solution

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