 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2025/paper-2/3/b/solution

The determinant condition reduces to

3 - 2 b = 0

b = \frac{3}{2} .

y = 2 x

, and at this value of

b

the second linear equation is satisfied for every such pair, including nonzero pairs.

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