4MA0 Higher June 2017 Paper 4R Q14
14 Solve \(\quad \dfrac{5 - x}{2} - \dfrac{x - 1}{3} = 1\)
Show clear algebraic working.
(4)
| Scheme | Marks |
|---|---|
\(\dfrac{6(5 - x)}{2} - \dfrac{6(x - 1)}{3} = 6 \times 1\) or \(3(5 - x) - 2(x - 1) = 6\) or \(\dfrac{3(5 - x) - 2(x - 1)}{6}\) (=1) or \(\dfrac{3(5 - x)}{6} - \dfrac{2(x - 1)}{6}\) (=1) | M1 |
\(15 - 3x - 2x + 2 = 6\) or \(\dfrac{15 - 3x - 2x + 2}{6} = 1\) or \(\dfrac{15 - 3x}{6} - \dfrac{2x - 2}{6} = 1\) | M1 |
| Eg \(-3x - 2x = 6 - 2 - 15\) or \(-5x = -11\) or \(3x + 2x = 15 + 2 - 6\) or \(5x = 11\) | M1 |
| 2.2 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: For a clear intention to multiply both sides by 6 or a multiple of 6 or to express LHS as a single fraction with denominator of 6 or a multiple of 6 or to express LHS as the sum of 2 fractions with denominator of 6 or a multiple of 6
M1: Expanding brackets in a correct equation.
M1: dep on both preceding marks for a correct rearrangement of a correct equation with terms in \(x\) on one side and numbers on the other.
A1: oe
Dependent on M2