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  4. The system of equations 2x + 3y = 7: : , 14x + 21y = 49 has

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Q. The system of equations $2x + 3y = 7\:\: , 14x + 21y = 49$ has

Matrices

Solution:

Let A = $\begin{bmatrix}2&3\\ 14&21\end{bmatrix}$ , det A = 0
Clearly, the given system has infinitely many solutions.
$\because$ $7(2x +3y) = 7 \times 7$
given $14x + 21 y = 49 $