SOLUTION: What is the value of the y variable in the solution to the following system of equations? 5x + 3y = 7 3x - 5y = -23

Algebra ->  Expressions-with-variables -> SOLUTION: What is the value of the y variable in the solution to the following system of equations? 5x + 3y = 7 3x - 5y = -23      Log On


   

Question 477511: What is the value of the y variable in the solution to the following system of equations?
5x + 3y = 7
3x - 5y = -23
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 What is the value of the y variable in the solution to the following system of equations?

5x + 3y = 7

3x - 5y = -23

eliminating the x variable by multiplying the 2nd EQ thru by -5/3

 5x + 3y = 7

-5x + 25/3y = -23*-5/3 + 21/3

        (34/3)y = 23*5/3 + 21/3

           34y = 115 + 21

             y = 136/34

             y = 4