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.

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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