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2007 Puerto Rico Team Selection Test
2
2
Part of
2007 Puerto Rico Team Selection Test
Problems
(1)
diophantine, xy + x + y = 71, x^2y + xy^2 = 880 Puerto Rico TST 2007.2
Source:
9/15/2021
Find the solutions of positive integers for the system
x
y
+
x
+
y
=
71
xy + x + y = 71
x
y
+
x
+
y
=
71
and
x
2
y
+
x
y
2
=
880
x^2y + xy^2 = 880
x
2
y
+
x
y
2
=
880
.
number theory
Diophantine equation
diophantine
algebra
system of equations