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## Main Question or Discussion Point

i have to find x

xy + x + y = 71

xy(x + y) = 880

this is what i have done:

since x and y divides 880, x or y must be 2, 5 or 11, because 880 = 2

from the first equation i can see that

x = 11 and y = 5 or x = 5 and y = 11

so x

thanks in advance.

^{2}+ y^{2}if x and y are positive integers andxy + x + y = 71

xy(x + y) = 880

this is what i have done:

since x and y divides 880, x or y must be 2, 5 or 11, because 880 = 2

^{4}.5.11from the first equation i can see that

x = 11 and y = 5 or x = 5 and y = 11

so x

^{2}+ y^{2}= 146**but is there a way to do it algebraically?**thanks in advance.