Question

3x + y = 5
− 6x − 2y = 9

Answer 1

Given: 3x + y = 5
          − 6x − 2y = 9

\[D = \begin{vmatrix}3 & 1 \\ - 6 & - 2\end{vmatrix} = - 6 + 6 = 0\] 
\[ D_{1 =} \begin{vmatrix}5 & 1 \\ 9 & - 2\end{vmatrix} = - 10 - 9 = - 19\] 
\[ D_2 = \begin{vmatrix}3 & 5 \\ - 6 & 9\end{vmatrix} = 27 + 30 = 57\]Here, D₁ and D₂ are non-zero, but D is zero. Thus, the system of linear equations is inconsistent.