Question on: JAMB Mathematics - 2024
If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x.
A
3
B
4
C
5
D
7
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Correct Option: C
The determinant of the left-hand side is:
\[ 5(2) - 3(x) = 10 - 3x \]
The determinant of the right-hand side is:
\[ 3(5) - 5(4) = 15 - 20 = -5 \]
Equate both sides:
\[ 10 - 3x = -5 \]
Solve for x:
\[ -3x = -15 \]
\[ x = 5 \]
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