Question

3x + y = 5
− 6x − 2y = 9

Answer 1

Given: 3x + y = 5
− 6x − 2y = 9

$$\begin{gathered} D=\left|\begin{array}{cc}3& 1\\ -6& -2\end{array}\right|=-6+6=0 \\ {D}_{1=}\left|\begin{array}{cc}5& 1\\ 9& -2\end{array}\right|=-10-9=-19 \\ {D}_2=\left|\begin{array}{cc}3& 5\\ -6& 9\end{array}\right|=27+30=57 \end{gathered}$$

Here, D₁ and D₂ are non-zero, but D is zero. Thus, the system of linear equations is inconsistent.