# SOLUTION: 2 2 (x+y) + (x+3y) - 10(x+3y) - 4(x+y) +29 = 0 , find the value from next expresion 2 2y + xy This problem is not from textbook.

Algebra ->  Algebra  -> Expressions -> SOLUTION: 2 2 (x+y) + (x+3y) - 10(x+3y) - 4(x+y) +29 = 0 , find the value from next expresion 2 2y + xy This problem is not from textbook.      Log On

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 Click here to see ALL problems on expressions Question 42465: 2 2 (x+y) + (x+3y) - 10(x+3y) - 4(x+y) +29 = 0 , find the value from next expresion 2 2y + xy This problem is not from textbook.Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website! This looks like a neat problem. Let's rearrange it and see if this helps sort it out, and subtract 29 from each side while you are at it: Notice that you can "complete the square" (remember "half and square"??) on each of these quantities, by adding 4 on the first blank and 25 on the second blank. Since the sum of two squares equals zero, this means that each quantity squared must equal zero! x+y-2=0 and x+3y-5=0 x+y=2 x+3y=5 Solve by elimination: -x-y=-2 x+3y=5 So, 2y = 3, x+y=2 NOW, you wanted 2y^2 + xy= R^2 at SCC