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First rearrange the second equation to fit the form y = mx + c, where m = slope

We get y = (9/k) x - 7/k

Parallel lines have the same slope. From equation 1, slope = k

From equation 2, slope = 9/k . Equating the two slopes we get k = 9/k; k² = 9; k = 3

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Q: What positive value for k would make the following the equations of a pair of parallel lines on the same coordinate axes?
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