please solve it.find the value
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statement 1
x2+y2=1x2+y2=1
Not sufficient here Y can be 0 or here x and y can have the values as \sqrt{1/2}.
statement 2
y = 1 - x.
Not sufficient, again Y can be 0 of Y can be 3 and x can be 2.
combining the 2,
x2+y2=1x2+y2=1,
x2+y2+2xy−2xy=1x2+y2+2xy−2xy=1,
(x+y)2−2xy=1(x+y)2−2xy=1,
from second statement x + y = 1,
1 - 2xy = 1,
2xy = 0,
xy=0
either x or y is 0
if x is 0 then y = 1 (from statement 2), but this is not possible as the question stem.
hence y = 0 and x = 1.
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