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4
System of Equations
System of Equations
Source:
December 22, 2005
algebra
system of equations
Problem Statement
Determine
3
x
4
+
2
x
5
3x_4+2x_5
3
x
4
+
2
x
5
if
x
1
x_1
x
1
,
x
2
x_2
x
2
,
x
3
x_3
x
3
,
x
4
x_4
x
4
, and
x
5
x_5
x
5
satisfy the system of equations below.
2
x
1
+
x
2
+
x
3
+
x
4
+
x
5
=
6
x
1
+
2
x
2
+
x
3
+
x
4
+
x
5
=
12
x
1
+
x
2
+
2
x
3
+
x
4
+
x
5
=
24
x
1
+
x
2
+
x
3
+
2
x
4
+
x
5
=
48
x
1
+
x
2
+
x
3
+
x
4
+
2
x
5
=
96
\begin{array}{l} 2x_1+x_2+x_3+x_4+x_5=6 \\ x_1+2x_2+x_3+x_4+x_5=12 \\ x_1+x_2+2x_3+x_4+x_5=24 \\ x_1+x_2+x_3+2x_4+x_5=48 \\ x_1+x_2+x_3+x_4+2x_5=96 \\ \end{array}
2
x
1
+
x
2
+
x
3
+
x
4
+
x
5
=
6
x
1
+
2
x
2
+
x
3
+
x
4
+
x
5
=
12
x
1
+
x
2
+
2
x
3
+
x
4
+
x
5
=
24
x
1
+
x
2
+
x
3
+
2
x
4
+
x
5
=
48
x
1
+
x
2
+
x
3
+
x
4
+
2
x
5
=
96
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