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Mathematics
Problem
Solve the following system of equations by Cramer's rule.
x
+
y
+
z
=
9
2
x
+
5
y
+
7
z
=
52
2
x
+
y
−
z
=
0
\begin{aligned} x + y + z &= 9 \\ 2x + 5y + 7z &= 52 \\ 2x + y - z &= 0 \end{aligned}
x
+
y
+
z
2
x
+
5
y
+
7
z
2
x
+
y
−
z
=
9
=
52
=
0
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