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If \(\begin{vmatrix} 5 3 \\ x 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 5 \\ 4 5 ...

If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x
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  • A 3
  • B 4
  • C 5
  • D 7
Correct Answer: Option C
Explanation:
\(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\)
10 - 3x = 15 - 20
-3x = 15 - 20 - 10
-3x = -15
x = 5

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