#### Provide solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 47 maths textbook solution.

Answer: $x = -2$

Hint: Here we use basic concept of determinant of matrix

Given: $\left|\begin{array}{rr} 3 x & 7 \\ -2 & 4 \end{array}\right|=\left|\begin{array}{ll} 8 & 7 \\ 6 & 4 \end{array}\right|$

Solution :

\begin{aligned} &3 x(4)-[(-2)(7)]=8 \times 4-7 \times 6 \\ &12 x+14=32-42 \\ &12 x=32-42-14 \\ &12 x=-24 \\ &x=-2 \end{aligned}