Sehyr solved the 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.

Question

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 first review Sehyr's steps:

1. The original equation is: \[ \frac{w}{2} - 7 = 11 \]

2. She adds 7 to both sides correctly: \[ \frac{w}{2} - 7 + 7 = 11 + 7 \] This simplifies to: \[ \frac{w}{2} = 18 \]

3. However, here is where Sehyr made an error: She incorrectly applied the division property. She wrote: \[ \frac{w}{2}/2 = \frac{18}{2} \] This is incorrect because she should multiply both sides by 2 instead of dividing.

4. The correct next step is to multiply both sides by 2: \[ 2 \times \frac{w}{2} = 2 \times 18 \] This simplifies to: \[ w = 36 \]

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