Question

Solve the proportion. Show your work.

3/(x + 1) = 5/11

Answer 1

3/(x +1) = 5/11
(x + 1)/3 = 11/5
x + 1 = 33/5
x = 33/5 - 1
x = 28/5 = 5 3/5

Answer 2

Answer:
`x=5(3)/(5)`

Explanation:

The given proportion :
`(3)/((x+1))=(5)/(11)\\\\\text{Multiplying both sides by 11 (x+1), we get}`

`(3)/((x+1))*11(x+1)=(5)/(11)*11(x+1)\\\\\Rightarrow\ 33=5(x+1)\\\\\Rightarrow\ 33=5x+5\\\\\text{Subtract 5 on both sides, we get}\\\\\Rightarrow\ 5x=33-5\\\\\Rightarrow\ 5x=28\text{Dividing 5 on both sides, we get}\\\\\Rightarrow x=(28)/(5)\\\\\text{In mixed fraction}\\\\ x=5(3)/(5)`