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5
Integer Triples with Equations
Integer Triples with Equations
Source:
October 31, 2024
algebra
Chile
Problem Statement
Find all triples of integers
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
such that
x
ā
y
z
=
11
x - yz = 11
x
ā
yz
=
11
x
z
+
y
=
13
xz + y = 13
x
z
+
y
=
13
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