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explanation
- x+y = 2 equation 1
- 1/x + 1/y = 2 equation 2
from equation 2
1/x + 1/y = 2
x + y / xy = 2
2 / xy = 2
2 = 2xy
xy = 2/2
xy = 1 equation 3
- xy = 1
x = 1 and y = 1
- x3 + y3 =( x+y ) (x2 + y2 - xy)
= 2 (1 + 1 - 1)
= 2 (1)
= 2
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