Question

Carly tried to solve an equation step by step. \qquad\begin{aligned} -4(7j+2)&=10\\\\ \\ 7j+2&=-40&\green{\text{Step } 1}\\\\ \\ 7j&=-42&\blue{\text{Step } 2}\\\\ \\ j&=-6&\purple{\text{Step } 3}\\\\ \end{aligned} −4(7j+2) 7j+2 7j j ​ =10 =−40 =−42 =−6 ​ Step 1 Step 2 Step 3 ​ Find Carly's mistake.

Answer 1

Carly's mistake occurred in Step 2. She incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides.

Step-by-step explanation:

Carly's mistake occurred in Step 2. In this step, she incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides. Let's correct her mistake:

-4(7j+2) = 10
7j+2 = -40
7j = -42
j = -6

Instead of dividing both sides by 7, Carly should have subtracted 2 from both sides:

7j + 2 - 2 = -40 - 2
7j = -42
j = -6

Therefore, Carly should have subtracted 2 from both sides in Step 2 instead of dividing by 7.

Answer 2

x+6=±5

Step-by-step explanation: