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2
Turkey Junior Olympiad 2006, Part II - P2
Turkey Junior Olympiad 2006, Part II - P2
Source:
January 20, 2013
calculus
integration
Problem Statement
Find all integer triples
(
x
,
y
,
z
)
(x,y,z)
(
x
,
y
,
z
)
such that
x
−
y
z
=
11
x
z
+
y
=
13.
\begin{array}{rcl} x-yz &=& 11 \\ xz+y &=& 13. \end{array}
x
−
yz
x
z
+
y
=
=
11
13.
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