Question

Solve : $(\begin{array}{c}y\\ 3x\end{array})$=$(\begin{array}{c}6-2x\\ 31+4y\end{array})$

Answer 1

Since the matrices are equal, the corresponding elements are equal.
Comparing the corresponding elements, we get y = 6 - 2x and 3x = 31 + 4y.
Using y = 6 - 2x in the other equation, we get 3x = 31 + 4 (6 - 2x)
3x = 31 + 24 - 8x
$\therefore x=5$ and hence $y=6-2\left(5\right)=-4$.
Thus, $x=5$ and $y=-4$