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

1 Answer
Rajarshi B.
Mar 26, 2017

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#

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