Question 244694
You are correct. The answers are {{{x=29/31}}} and {{{y=-162/31}}}. There are many ways to verify your answer, but if you enter the expression "5x+3y=-11,7x-2y=17" (without quotes) into Wolfram Alpha, you will get the same answer. Check out this <a href="http://www.wolframalpha.com/input/?i=5x%2B3y%3D-11%2C7x-2y%3D17">link</a> to see what I'm talking about.