Question

How do you solve `\frac { 9} { 7x + 28} = \frac { 5} { x + 4} - \frac { 2} { 7}`?

Answer 1

the answer will be +4

Explanation:

`9/(7x+28)=5/(x+4)-(2/7)`
=> `9/(7(x+4))-5/(x+4)+2/7=0`
=> `(9-35+2(x+4))/(7(x+4))=0`
=>`(-24+2x+8)/(7(x+4))=0`
=>`(2x-16)/(7(x+4))`
=>`(2(x-4))/(7(x+4))=0`
=>`(x-4)/(x+4)=0`
Now, if x= -4 then the divisor's value will be 0 which is undefined.So, the answer is
`x - 4=0`
`x=+4`