Question

1. Solve the following Equations ( 2 marks each)
a) (2x - 5)/(3x - 1) = (2x - 1)/(3x + 2)

Answer 1

$\frac{2x - 5}{3x - 1} = \frac{2x - 1}{3x + 2} \\ (2x - 5) \times(3x + 2) = (2x - 1) \times (3x - 1) \\ 6 {x}^{2} + 4x - 15x - 10 = 6 {x}^{2} - 2x - 3x + 1 \\ - 11 {x}^{2} - 10 = - 5x + 1 \\ - 10 - 1 = 11 {x}^{2} - 5x \\ - 11 = 11 {x}^{2} - 5x \\ 11 {x}^{2} - 5x + 11 = 0$

Now solve this quadratic equation. Two values will come and that will be your answer.