Determine the points of intersection of the curve:
y=(7-4x)/(x-4)
and the line y=2x-1
2x - 1 = (7-4x) / (x-4)
(2x-1)(x-4) = 7 - 4x
2 x^2 -9 x + 4 = 7 - 4 x
2 x^2 - 5 x - 3 = 0
(2 x +1)(x -3) = 0
x = 3
or
x = -1/2
find y for each