How do you find the solution set for #2/3a - 1/5a = 2#?

1 Answer
Aug 15, 2015

If you multiply both sides by #15# you can clear the denominators and solve as a simple integer equation to get:
#color(white)("XXXX")##a= 30/7 = 4 2/7#

Explanation:

Given #2/3a-1/5a=2#

Multiply both sides by #15#
#color(white)("XXXX")##10a - 3a = 30#
Simplify the left side
#color(white)("XXXX")##7a = 30#
Divide both sides by #7#
#color(white)("XXXX")##a = 30/7