Solve x/(x-1) - 5/(x-3) = 1.

Mark scheme

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

1. [4] 1/2 oe nfww
2. [3] B3 for x²-3x-5x+5 = x²-x-3x+3 or better
3. [2] M2 for an equation with fractions eliminated
4. [2] M2 for correct use of common denominator in an equation, accept LHS as two fractions
5. [1] M1 for x(x-3)-5(x-1)
6. [1] M1 for common denominator (x-1)(x-3) soi
7. [1] M1 for x/(x-1) = (1(x-3)+5)/(x-3)
8. [1] M1 for (x-(x-1))/(x-1) = 5/(x-3)