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Grade 12Algebra

how to check consitency of three equations with 3 variables
The value of l for which the system of equations x+y-2z=0, 2x-3y+z=0. x-5y+4z= l is consistent is
A) ι B) -1 C) 0 D) 2

Profile image of mounikashri
9 Years agoGrade 12
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1 Answer

Profile image of Vikas TU
9 Years ago
The detrminant value should be non zero.
Here the detrminant value is:
|1  1  – 2|
|2  -3    1|
|1   -5  4|
=> 1(-12 + 5) – 1(8 – 1) + -2(-10+3)
=> -7 -7 +14
=> 0

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