Question 439489
To solve the {{{system(5x+3y=-7, 7x-2y=13)}}} by elimination method:

Step 1. multiply the first equation by 2 and the second by 3 and we get:

{{{system(10x+6y=-14, 21x-6y=39)}}}.

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(25/31)+3y=-7}}} => {{{3y=-7-(125/31)}}} => {{{y=-342/93}}}

Answer:The solution of the system is: (25/31, 342/31)