https://file.aiquickdraw.com/mathbot/file/1725973350115ozcvj0ue.jpg

The equation given in the image is:

\[
4u - 13 = 43
\]

Let's solve it step by step.

1. **Add 13 to both sides** to eliminate the -13 from the left side:
   \[
   4u = 43 + 13
   \]
   \[
   4u = 56
   \]

2. **Divide both sides by 4** to solve for \( u \):
   \[
   u = \frac{56}{4} = 14
   \]

The solution is:

\[
u = 14
\]

Would you like more details or explanations on any part of this? Here are five related questions to consider:

1. What happens if the equation has variables on both sides?
2. How do you solve an equation with fractions?
3. Can you explain why adding or subtracting the same value to both sides is allowed?
4. What if you had an inequality instead of an equation?
5. How do you check if the solution is correct?

**Tip**: Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation 4u - 13 = 43 step-by-step. This problem demonstrates key algebraic techniques, including isolating the variable using basic arithmetic operations. Suitable for students in Grades 6-8.

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