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
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Calculate the determinant of the left-hand side (LHS): The determinant of \(\begin{vmatrix} 5 & 3 \ x & 2 \end{vmatrix}\) is (5 * 2) - (3 * x) = 10 - 3x.
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Calculate the determinant of the right-hand side (RHS): The determinant of \(\begin{vmatrix} 3 & 5 \ 4 & 5 \end{vmatrix}\) is (3 * 5) - (5 * 4) = 15 - 20 = -5.
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Equate the determinants and solve for x: We have 10 -
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