Let $\left|\begin{array}{rr}3 x & -7 \\ 1 & 4\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & x\end{array}\right|$, then value of $x$ is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) - $\frac{-5}{3}$
$\left|\begin{array}{rr}3 x & -7 \\ 1 & 4\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & x\end{array}\right|$
$⇒12x+7=3x-8$
$9x=-15$
$x=\frac{-5}{3}$