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  4. The system of equations x+2y=11-2x-4y =22 has

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Q. The system of equations $x+2y=11-2x-4y =22$ has

Matrices

Solution:

Let $A = \begin{bmatrix}1&2\\ -2&-4\end{bmatrix}$
Since $| A | = - 4 + 4 = 0$, and $2 \left(x + 2y\right) = 22$
i.e., $2x + 4y = 22$ and $2x + 4y = -22$
$\therefore $ the given equation has no solution.