4MA0 Foundation June 2017 Paper 2 Q23
23 Solve \(\begin{aligned} x - 5y &= 14 \\ 3x + 5y &= 2 \end{aligned}\)
Show clear algebraic working.
(3)
| Scheme | Marks |
|---|---|
| e.g. \(4x = 16\) or \(-20y = 40\) or \(20y = -40\) or \(3(14 + 5y) + 5y = 2\) | M1 |
| eg. \(3 \times 4 + 5y = 2\) or \(3x + 5 \times -2 = 2\) | M1 |
| 4, −2 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: First stage of method to eliminate one variable – allow one error only in multiplication
M1: (dep on M1) method to find second variable
A1: for both 4 and −2
dep on at least M1