if x^2+y^2+xy=1 and x+y=2 then find xy
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[2 Rearrangement] x=1+y
Substitute [2] into [1]
1+y+y=2
[simplify and solve for y ]
1+2y=2
2y=1
y=1/2
[substitute for x ]
x+1/2=2
x=3/2
[Verify the x and y values are correct]
3/2−1/2==1
3/2+1/2==2
[Great, now we solve x/y ]
(3/2)/(1/2)=1.5/0.5=3
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