SOLUTION: Solve using any method. (x/2) + (y/3) = 2/3 and (x/5) + (5y/2) = 1/4 I cannot figure out how to do this problem I have been working on it for an hour and have not figured it out p

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Solve using any method. (x/2) + (y/3) = 2/3 and (x/5) + (5y/2) = 1/4 I cannot figure out how to do this problem I have been working on it for an hour and have not figured it out p      Log On


   

Question 465551: Solve using any method. (x/2) + (y/3) = 2/3 and (x/5) + (5y/2) = 1/4
I cannot figure out how to do this problem I have been working on it for an hour and have not figured it out please help.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Solve using any method.

(x/2) + (y/3) = 2/3    |multiplying thru by 6

(x/5) + (5y/2) = 1/4   |multiplying thru by 20



(3x) + (2y) = 4  

(4x) + (50y) = 5



(-4x) + (-8/3y) = 4*(-4/3) = -16/3  |Multiplying 1st EQ by -4/3

(4x) + (50y) = 5

        142/3 y= -1/3

              y = -1/142 and x = 190/142