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