SOLUTION: FInd x and y in the following: a) 6+sqrt{x-y}=x+y+3sqrt{2} b) xy+sqrt{x+y}= (5/4) + sqrt{3}

Algebra ->  Equations -> SOLUTION: FInd x and y in the following: a) 6+sqrt{x-y}=x+y+3sqrt{2} b) xy+sqrt{x+y}= (5/4) + sqrt{3}      Log On


   

Question 1112483: FInd x and y in the following:
a) 6+sqrt{x-y}=x+y+3sqrt{2}
b) xy+sqrt{x+y}= (5/4) + sqrt{3}
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
b) xy+sqrt{x+y}= (5/4) + sqrt{3}
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xy%2Bsqrt%28x%2By%29=5%2F4%2Bsqrt%283%29

system%28xy=5%2F4%2Cx%2By=3%29

Is substitute for y=3-x,...
.
.
4x%5E2-12x%2B5=0

system%28x=5%2F4%2Cor%2Cx=1%2F2%29
See what you find for the corresponding y values. Do they work in the original equation?



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system%28highlight%28x=1%2F2%29%2Chighlight%28y=2%261%2F5%29%29