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Mathematics
Mathematics
Problem
Show that the system
x
+
y
+
z
=
0
x
+
3
y
+
5
z
=
2
x
+
2
y
+
3
z
=
8
\begin{aligned}x + y + z &= 0 \\x + 3y + 5z &= 2 \\x + 2y + 3z &= 8\end{aligned}
x
+
y
+
z
x
+
3
y
+
5
z
x
+
2
y
+
3
z
=
0
=
2
=
8
is inconsistent.
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