Answer:
Step-by-step explanation:
(3x + 1)/x = 1/(x -3) Cross multiply
(3x + 1)(x - 3) = x Remove the brackets. Use FOIL
f:3x*x = 3x^2
o:3x*(-3) = -9x
i:1*x = x
L : 1 * - 3 = -3
FOIL: 3x^2 -9x +x - 3
FOIL: 3x^2 - 8x - 3
3x^2 - 8x - 3 = x Subtract x from both sides
3x^2 - 8x -x - 3 = 0 Combine
3x^2 - 9x - 3 = 0 Factor
It's rather ugly. I had to use the quadratic equation
a = 3
b = - 9
c = - 3
x1 = 3.3
x2 = - 0.3
