SOLUTION: 1/2 x + 5/6 = 1- 2/3 x get the x value that is equal to

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 1/2 x + 5/6 = 1- 2/3 x get the x value that is equal to      Log On


   

Question 208418: 1/2 x + 5/6 = 1- 2/3 x get the x value that is equal to
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
%281%2F2%29x + 5%2F6 = 1+-+%282%2F3%29x
Multiply equation by 6
6*%281%2F2%29x + 6*5%2F6 = 6%281%29+-+6%2A%282%2F3%29x
Cancel the denominators
3x + 5 = 6 - 2(2x)
:
3x + 5 = 6 - 4x
:
3x + 4x = 6 - 5
:
7x = 1
x = 1%2F7
:
:
See if this is true
%281%2F2%29%281%2F7%29 + 5%2F6 = 1+-+%282%2F3%29%281%2F7%29
%281%2F14%29 + 5%2F6 = 1+-+%282%2F21%29
%281%2F14%29 + 5%2F6 = %2821%2F21%29+-+%282%2F21%29
Use a common denominator 42
%283%2F42%29 + 35%2F42 = %2842%2F42%29+-+%284%2F42%29
38%2F42 = 38%2F42