Question

A+4/3 - a/7 = a+7/5
What is the answer

Answer 1

a = –7

Solution:

Given expression is

`$(a+4)/(3) -(a)/(7) =(a+7)/(5) $`

Combine like terms together, we get

`$(a+4)/(3) -(a)/(7) -(a+7)/(5)=0 $`

Take LCM for the denominators (LCM of 3, 7, 5 = 105) to make it same.

`$((a+4)*35)/(3*35) -(a*15)/(7*15) -((a+7)*21)/(5*21)=0 $`

`$(3a+140)/(105) -(15a)/(105) -(21a+147)/(105) =0$`

`$(3a+140+15a-21a-147)/(105) =0$`

`$(3a+15a-21a+140-147)/(105) =0$`

`$(-a-7)/(105) =0$`

Do cross multiplication.

`-a-7=0` (Any number multiplied by 0 gives 0)

`-a=7`

Multiply (–1) on both sides to get the positive a.

a = –7

Hence, the answer is a = –7.