How do you solve #4/(a+19) = 9/(a-22)#?

Question

822 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-13T00:55:12

#a=-51.8#

Cross multiply is applicable in this situation (if not then you must find the LCD)

#4(a-22)=9(a+19)#

Factor in the 4 and the 9

#4a-88 = 9a+171#

Isolate the variable

#4a-259=9a#

#-259=5a#

#a=-51.8#