Question

The steps below show the incomplete solution to find the value of m for the equation 5m − 2m + 4 = −1 + 12: Step 1: 5m − 2m + 3 = −1 + 12 Step 2: 5m − 2m + 3 = 11 Step 3: 3m + 3 = 11 Which of these is most likely the next step? (5 points) a 3m = 3 b 3m = 8 c 3m = 16 d 3m = 18

Answer 1

Given:

Consider the equation is:

$5m-2m+3=-1+12$

Some steps of the solution are given.

To find:

The next step of the solution.

Solution:

Step 1: The given equation is:

$5m-2m+3=-1+12$

Step 2: Simplifying right hand side.

$5m-2m+3=11$

Step 3: Simplifying left hand side.

$3m+3=11$

These steps are already given. So, the next step is:

Step 4: Subtracting 3 from both sides.

$3m=8$

Therefore, the correct option is (b).