Question

Can someone please help me I am stuck.

Answer 1

5

Explanation:

We want to separate the variable r from the constants.

Let's add (1/5)r to both sides:
`12-(1)/(5) r+(1)/(5) r=2r+1+(1)/(5) r`. We now have the simplified equation:
`12=2(1)/(5) r+1`. Now, we subtract 1 from both sides:

`12-1=2(1)/(5) r`.

Let's turn the mixed number into an improper fraction by making 2 into 10/5 and adding that to 1/5: (10/5) + (1/5) = 11/5. So, we now have:
`11=(11)/(5) r`.

To solve for r, we divide both sides by 11/5, which is the same as multiplying by its reciprocal, 5/11:
`r=11*(5)/(11) =5`

Thus, r = 5.

Hope this helps!