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If 2 3 4 1 find the value of y 7 - JAMB Mathematics 2011 Question

If | 2 3 | = | 4 1 |. find the value of y. 7

A
-6
B
6
C
-12
D
12
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Correct Option: A

(\begin{vmatrix} 2 & 3 \ 5 & 3x \end{vmatrix}) = (\begin{vmatrix} 4 & 1 \ 3 & 2x \end{vmatrix})

(2 x 3x) - (5 x 3) = (4 x 2x) - (3 x 1)

6x - 15 = 8x - 3

6x - 8x = 15 - 3

-2x = 12

x = (\frac{12}{-2})

= -6

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