SOLUTION: Solve 2z/5 = z-1/3

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve 2z/5 = z-1/3      Log On


   

Question 91882: Solve
2z/5 = z-1/3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve
2z%2F5 = z+-+1%2F3
:
Multiply equation by 15 to get rid of those denominators, resulting in:
3(2z) = 15z - 5(1)
:
6z = 15z - 5
:
+5 = 15z - 6z
:
5 = 9z
:
z = 5/9
:
:
Check solution in original equation:
2%285%2F9%29%2F5 = %285%2F9%29+-+1%2F3
10%2F9%2F5 = %285%2F9%29+-+1%2F3
2%2F9 = 5%2F9+-+3%2F9