Question

How do you solve `5=(u+6)/5 + (5u-2)/6`?

Answer 1

u=4

Explanation:

First, since there are fractions in this question, we can find the common denominator and group the fractions together, which is easier for us to do the question.

`5=(u+6)/5+(5u-2)/6`
`5=[(u+6)*6]/(5*6)+[(5u-2)*5]/(6*5)`
`5=(u*6+6*6)/30+(5u*5-2*5)/30`
`5=(6u+36+25u-10)/30`

Then, we can multiply by 30 on both sides to eliminate the denominator.

`5*30=(6u+36+25u-10)/30*30`
`150=26+31u`
`124=31u`
`u=124/31=4`

Here is the answer. Hope this can help you :)