Question 5: If

2x 5
1 3

= 8, find the value of \( x \).

SHOW ANSWER
Answer: The value of \( x \) is \( \frac{13}{6} \).

Solution:
1. Compute the determinant:

2x 5
1 3

= (2x × 3) − (5 × 1) = 6x − 5

2. Set the determinant equal to 8:

6x − 5 = 8

3. Solve for \( x \):

6x = 13 ⇒ x = 13/6

Thus, \( x = \frac{13}{6} \).

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