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).