How do you solve #\frac { 7b - 4} { b } = \frac { 9} { 7}#?

1 Answer

#b = 7/10#

Explanation:

We have,

#color(white)(xxx)(7b - 4)/(b) = 9/7#

#rArr 7(7b -4) = 9b# [Cross-multiplication]

#rArr 49b - 28 = 9b#

#rArr49b - 9b = 28# [Transpose the #b# terms to L.H.S]

#rArr 40b = 28#

#rArr b = cancel28^7/cancel40^10# [Dividing both sides by #40#]

#rArr b = 7/10#

Hope This helps.