BUSINESS ADMINISTRATION
BUSINESS MATHEMATICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The system of linear equations x+y+z =2, 2x+y-z=3, 3x+2y+k=4 has unique solution, if k is not equal to ____
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4
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0
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-4
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1
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Explanation:
Detailed explanation-1: -In a set of linear simultaneous equations, a unique solution exists if and only if, (a) the number of unknowns and the number of equations are equal, (b) all equations are consistent, and (c) there is no linear dependence between any two or more equations, that is, all equations are independent.
Detailed explanation-2: -A system of linear equations a 1 x + b 1 y = 0 a 2 x + b 2 y = 0 has a unique solution, if a 1 a 2 ≠ b 1 b 2 .
Detailed explanation-3: -A system of linear equations has no solution when the graphs are parallel.
Detailed explanation-4: -(1) No solution occurs only for k = 1.
There is 1 question to complete.