First slide

System of linear equations

Question

The system of equations _{$x + y + z = 8$} , _{$x - y + 2 z = 6$} , _{$3 x + 5 y - 7 z = 14$} has

Moderate

A

A unique solution
B

Infinite number of solutions
C

$\begin{matrix} \end{matrix} |\begin{matrix} 1 & 1 & 1 \\ 1 & - 1 & 2 \\ 3 & 5 & - 7 \end{matrix}| = - 8 \neq 0$ No solution
D

None of these

Solution

Unique solution
$|\begin{matrix} 1 & 1 & 1 \\ 1 & - 1 & 2 \\ 3 & 5 & - 7 \end{matrix}| = - 8 \neq 0$

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