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2014 ASDAN Math Tournament
11
2014 Team #11
2014 Team #11
Source:
July 1, 2022
2014
team test
Problem Statement
In the following system of equations
∣
x
+
y
∣
+
∣
y
∣
=
∣
x
−
1
∣
+
∣
y
−
1
∣
=
2
,
|x+y|+|y|=|x-1|+|y-1|=2,
∣
x
+
y
∣
+
∣
y
∣
=
∣
x
−
1∣
+
∣
y
−
1∣
=
2
,
find the sum of all possible
x
x
x
.
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