Sehyr solved the

Question

equation w/2 - 7 = 11. She seems to
have made an error in her work because the solution she found does not work. Observe Sehyr's work to find her error and correct it to find the solution to the equation.
Sehyr's work:
W/2- 7 = 11
W/2 - 7+7=11+7
Using the
Addition Property of Equality
W/2/2=18/2

Using the
Division Property of Equality
W = 9
(1 point)
The solution to the equation is

Answer 1

Let's carefully analyze Sehyr's work step by step and identify her error.

1. Starting with the equation: \[ \frac{w}{2} - 7 = 11 \]

2. She added 7 to both sides correctly: \[ \frac{w}{2} - 7 + 7 = 11 + 7 \quad \text{(Correct)} \] This simplifies to: \[ \frac{w}{2} = 18 \]

3. However, in the next step, she incorrectly wrote: \[ \frac{w}{2}/2 = 18/2 \] This is incorrect. Instead, she should have multiplied both sides by 2 to isolate \( w \).

The correct operation is: \[ \frac{w}{2} \cdot 2 = 18 \cdot 2 \] So we get: \[ w = 36 \]

Thus, the correct solution to the equation is: \[ \boxed{36} \]