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