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IMO Shortlist
1967 IMO Shortlist
6
IMO LongList 1967, Bulgaria 6
IMO LongList 1967, Bulgaria 6
Source: IMO LongList 1967, Bulgaria 6
December 16, 2004
linear algebra
matrix
algebra
system of equations
IMO Shortlist
IMO Longlist
Problem Statement
Solve the system of equations:
∣
x
+
y
∣
+
∣
1
−
x
∣
=
6
∣
x
+
y
+
1
∣
+
∣
1
−
y
∣
=
4.
\begin{matrix} |x+y| + |1-x| = 6 \\ |x+y+1| + |1-y| = 4. \end{matrix}
∣
x
+
y
∣
+
∣1
−
x
∣
=
6
∣
x
+
y
+
1∣
+
∣1
−
y
∣
=
4.
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