I am able to solve the question but I can't seem to get the right answer.

**it is rational equations!!!

(2/m+1) = (8m/m+1) - 3

If you meant to type:

2/(m+1) = 8m/(m+1) - 3
then
2 = 8 - 3(m+1)
6 = 3m + 3
m = 1

I would not be surprised if you have typos but as written:

2/m + 1 = 9 - 3
2/m = 5
m = 2/5

the answer key says that the m=1

Then you had the typos I thought you had.

Be careful with parentheses.

so when u solve it u have to multiply out m+1 and it is then only going to multiply with the 3 right?????

ok thanks for the correction. it is harder to type it out for mee on a laptop!!!

Yes

(m+1) [2/(m+1)] = [8m/(m+1)](m+1) - 3 [m+1]

2 = 8 m -3 m - 3

5 = 5 m
m =1
( I had a typo)

@Damon is a legend. They're helping you out w/ a ton of stuff man, thank them. <3

To solve the rational equation (2/m+1) = (8m/m+1) - 3, we need to eliminate the denominators and then solve for the variable.

Here are the steps:

1. Multiply both sides of the equation by m+1 to eliminate the denominators:
(m+1)(2/m+1) = (m+1)((8m)/(m+1) - 3)

Simplifying this, we get:
2 = 8m - 3(m+1)

2. Distribute the multiplication on the right side:
2 = 8m - 3m - 3

3. Combine like terms:
2 = 5m - 3

4. Add 3 to both sides of the equation to isolate the variable:
2 + 3 = 5m - 3 + 3

Simplifying this, we have:
5 = 5m

5. Divide both sides by 5 to solve for m:
5/5 = (5m)/5

Simplifying further, we get:
1 = m

Hence, the solution to the rational equation (2/m+1) = (8m/m+1) - 3 is m = 1.