Question 5: If
| 2x | 5 |
| 1 | 3 |
= 8, find the value of \( x \).
Solution:
1. Compute the determinant:
| 2x | 5 |
| 1 | 3 |
= (2x × 3) − (5 × 1) = 6x − 5
2. Set the determinant equal to 8:
3. Solve for \( x \):
Thus, \( x = \frac{13}{6} \).
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