Solve. x/(x-1) - 3/(2x-1) = 1

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

1. [4] 2 nfww
2. B3 for 2x^2 - x - 3x + 3 = 2x^2 - 2x - x + 1 or better
3. or M2 for an equation with fractions eliminated
4. or for correct use of common denominator in an equation, accept LHS as two fractions
5. or M1 for x(2x - 1) - 3(x - 1)
6. or common denominator (2x - 1)(x - 1) soi
7. or x/(x-1) = (1(2x-1)+3)/(2x-1)
8. or (x-1(x-1))/(x-1) = 3/(2x-1)