Question

Leon tried to solve an equation step by step. \qquad\begin{aligned} \dfrac12w-12&=18\\\\ \\ \dfrac12w&=30&\green{\text{Step } 1}\\\\ \\ w&=15&\blue{\text{Step } 2}\\\\ \end{aligned} 2 1 ​ w−12 2 1 ​ w w ​ =18 =30 =15 ​ Step 1 Step 2 ​ Find Leon's mistake. Choose 1 answer: Choose 1 answer:

Answer 1

Leon's mistake was Step 2

Answer 2

Step-by-step explanation:

The given expression is :

`(w)/(2)-12=18`

The value of w can be solved as follows :

Add 12 to both sides,

`(w)/(2)-12+12=18+12\\\\(w)/(2)=30`

Cross multiplying, we get :

`w=2* 30\\\\w=60`

Leon should have made mistake at last step where instead of multiplying 2 and 30 he divides 30 by 2 so that he get 15 as answer.