If begin 5 & 3 \ x & 2 end = begin 3 & 5 \ 4 & 5 end, find the value of x

If (begin{vmatrix} 5 & 3 \ x & 2 end{vmatrix}) = (begin{vmatrix} 3 & 5 \ 4 & 5 end{vmatrix}), find the value of x

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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