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Consistency of Linear System of Equations

For what valu...

Question

For what value of $p$ , system of equations $2 x + p y = 8$ and $x + y = 6$ have no solutions

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Solution

Coefficient matrix is $[\begin{matrix} 2 & p 1 & 1 \end{matrix}]$
Determinant of above matrix $\Rightarrow 2 - p = 0 p = 2$
For $p = 2$ it has No Solution.

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Consistency of Linear System of Equations

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