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k for which two linear equations have infinitely many solutions

The same question, asked 2 times: 17 Sep 2024 S2*, 24 Sep 2024 S2. Every wording below, oldest first.

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  1. Question 1

    17 Sep 2024 S2

    53
    For what value of k, the system of equations 4x + 12y + 36 = 0 and 5x + ky + 45 = 0 has an infinite number of solutions?

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  2. Question 2

    24 Sep 2024 S2

    61
    For what value of K does the following system have an infinite number of solutions? x + 2Ky - 8 = 0 2x - y - 16 = 0

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