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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
9.7
4x4 non linear system (III Soros Olympiad 1996-97 R3 9.7)
4x4 non linear system (III Soros Olympiad 1996-97 R3 9.7)
Source:
May 31, 2024
system of equations
algebra
Problem Statement
Solve the system of equations:
{
x
y
+
z
u
=
14
x
z
+
y
u
=
11
x
u
+
y
z
=
10
x
+
y
+
z
+
u
=
10
\begin{cases} xy+zu=14 \\ xz+yu=11 \\ xu+yz=10 \\ x+y+z+u=10 \end{cases}
⎩
⎨
⎧
x
y
+
z
u
=
14
x
z
+
y
u
=
11
xu
+
yz
=
10
x
+
y
+
z
+
u
=
10
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