SOLUTION: Could someone please show me step by step how to solve the system by elimination method? 5x+3y=-7 7x-2y=13

Algebra ->  Graphs -> SOLUTION: Could someone please show me step by step how to solve the system by elimination method? 5x+3y=-7 7x-2y=13      Log On


   

Question 439489: Could someone please show me step by step how to solve the system by elimination method?
5x+3y=-7
7x-2y=13
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
To solve the system%285x%2B3y=-7%2C+7x-2y=13%29 by elimination method:
Step 1. multiply the first equation by 2 and the second by 3 and we get:
system%2810x%2B6y=-14%2C+21x-6y=39%29.
Step 2.Adding two equations we eliminate y: 31x=25 => x=25/31. We found x.
Step 3.Plugging x=25/31 in the first equation to find y:
5%2825%2F31%29%2B3y=-7 => 3y=-7-%28125%2F31%29 => y=-342%2F93
Answer:The solution of the system is: (25/31, 342/31)