SOLUTION: Solve for x and y simultaneously x+y=2 and 3x^2+4xy+y^2=6

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Question 960117: Solve for x and y simultaneously x+y=2 and 3x^2+4xy+y^2=6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=2+
x=2-y
x%5E2=4-4y%2By%5E2
Substitute,
3%284-4y%2By%5E2%29%2B4%282-y%29y%2By%5E2=6
12-12y%2B3y%5E2%2B8y-4y%5E2%2By%5E2=6
12-4y=6
-4y=-6
y=6%2F4
highlight%28y=3%2F2%29
Then,
x=2-%283%2F2%29
x=4%2F2-3%2F2
highlight%28x=1%2F2%29