Question

Find the value of x, if

\[\begin{vmatrix}3x & 7 \\ 2 & 4\end{vmatrix} = 10\] , find the value of x.

Answer 1

\[\text{ Given }: \begin{vmatrix}3x & 7 \\ 2 & 4\end{vmatrix} = 10\]
\[ \Rightarrow 12x - 14 = 10\]
\[ \Rightarrow 12x = 24\]
\[ \Rightarrow x = 2\]