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Byju's Answer
Standard X
Mathematics
Solving Simultaneous Linear Equation Using Cramer's Rule
The system ...
Question
The system
2
x
+
3
y
+
z
=
5
,
3
x
+
y
+
5
z
=
7
,
x
+
4
y
−
2
z
=
3
has:
A
unique solution
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B
finite number of solutions
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C
infinite solutions
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D
no solution
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Solution
The correct option is
C
no solution
Using Cramer's rule,
D
=
∣
∣ ∣
∣
2
3
1
3
1
5
1
4
−
2
∣
∣ ∣
∣
=
2
(
−
2
−
20
)
−
3
(
−
6
−
5
)
+
1
(
12
−
1
)
=
−
44
+
33
+
11
=
0
Since
D
=
0
, we cannot have a solution to the given set of equations.
Suggest Corrections
0
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