If \(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\), find the value of x
A
3
B
4
C
5
D
2
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix} = 15\)
x x 7 - 2 x 3 = 15
7x - 6 = 15
7x = 15+6
7x = 21
x = 21/7
x = 3
Source: Myschool Past Questions Archive (Record #9804)