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1.

For what value of k will the point (3, −k) lie on the line 9x + 4y = 3?

Answer»

The given equation of the line is 9x + 4y = 3.

Put x = 3 and y = -k, we have:

9(3) + 4(−k) = 3

27 − 4k = 3

4k = 27 − 3 = 24

k = 6