If \(\begin{vmatrix}-x & 12 \\-1 & 4 \end{vmatrix} = - 12\), find x.
A
-6
B
-2
C
3
D
6
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\begin{vmatrix}-x & 12 \\-1 & 4\end{vmatrix} = - 12\)
-4x - (-1)12 = -12
-4x + 12 = -12
-4x = -12 - 12
-4x = - 24
x = 6
Source: Myschool Past Questions Archive (Record #27016)