Consider a non-homogenous system of linear equations, representing mathematically an over-determined system, Such a system will be

Consistent, having a unique solution

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Consistent, having many solutions

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Inconsistent, having a unique solution

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Inconsistent, having no solution

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Solution

The correct option is D Inconsistent, having no solution
$∵$ Option (a),(b) and (d) are correct only option (c) is incorrect

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x + y - 2 z = 0

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Match the possible scenarios for system of linear equations in 3 variables.

\begin{matrix} C o l u m n I & C o l u m n I I a . U n d e r d e t e r m i n e d s y s t e m & i . N o s o l u t i o n b . O v e r d e t e r m i n e d s y s t e m & i i . S i n g l e s o l u t i o n c . E x a c t l y d e t e r m i n e d s y s t e m & i i i . I n f i n i t e s o l u t i o n \end{matrix}

Match the possible scenarios for system of linear equations in 3 variables.

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If the equations in a system of two linear equations in two variables are graphed, each graph will be a line. Which of the following System of Linear equations will have only one solution ?

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Consider a non-homogenous system of linear equations, representing mathematically an over-determined system, Such a system will be

The correct option is D Inconsistent, having no solution∵ Option (a),(b) and (d) are correct only option (c) is incorrect

The correct option is D Inconsistent, having no solution
$∵$ Option (a),(b) and (d) are correct only option (c) is incorrect