Crammer's Rule
x+y+z=1
2x +2y+3z= 6
x+ 4y + 9Z= 3
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Solve the equation by Cramers rule
x
+
y
+
z
=
1
,
2
x
+
2
y
+
3
z
=
6
,
x
+
4
y
+
9
z
=
3
.
A
7
,
−
10
,
4
B
−
7
,
−
10
,
−
4
C
7
,
10
,
4
D
7
,
−
10
,
−
4
Solution
Δ
=
∣
∣
∣
∣
1
1
1
2
2
3
1
4
9
∣
∣
∣
∣
=
−
3
Δ
1
=
∣
∣
∣
∣
1
1
1
6
2
3
3
4
9
∣
∣
∣
∣
=
−
21
Δ
2
=
∣
∣
∣
∣
1
1
1
2
6
3
1
3
9
∣
∣
∣
∣
=
30
Δ
3
=
∣
∣
∣
∣
1
1
1
2
2
6
1
4
3
∣
∣
∣
∣
=
−
12
x
=
Δ
1
Δ
=
−
21
−
3
=
7
y
=
Δ
2
Δ
=
30
−
3
=
−
10
z
=
Δ
3
Δ
=
−
12
−
3
=
4
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