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


Question

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

Options

A)
-6
B)
6
C)
-12
D)
12

The correct answer is A.

Explanation:

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

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