Question

Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\dfrac34&\green{\text{Step } 1}\\\\ m&=2&\blue{\text{Step } 2} \end{aligned} 4 3 ​ +m 4 3 ​ +m− 4 3 ​ m ​ = 4 5 ​ = 4 5 ​ + 4 3 ​ =2 ​ Step 1 Step 2 ​

Answer 1

m=1/2

hope this helps!

Answer 2

Angela's mistake is in step 1, she failed to change the sign when subtracting from both sides

Explanation:

Equation given :

The correct solution should be :

3/4 - 3/4 + m = 5/4 - 3/4

m = 2/ 4

m = 1/2

Therefore failure to change the sign will result in a obtaining a wrong answer for the exercise.