Coefficient ratios for a pair of equations with no solution or infinitely many

This type of question, asked 3 times: 2 Mar 2023 Tier II, 6 Mar 2023 Tier II, 18 Jan 2026 Tier II. All 3 questions below, oldest first.

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Question 1
2 Mar 2023 Tier II
22 $17x+my+102=0$
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Question 2
6 Mar 2023 Tier II
23 $For what value of m will the system of equations 18x-72y+13=0 and 7x-my-17=0 have no solution?$
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Question 3
18 Jan 2026 Tier II
12 $If 3x - ky + 8 = 0 and 9x - 18y + 20 = 0 have no solution, find k.$
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