Foundation November 2022 Paper 3 Q18
18 The graph shows the solution to this pair of simultaneous equations.
\[2x + y = 14\]\[x + 2y = 13\]Use the solution to work out the value of \(3x + y\).
You must show how you work out your answer.
\(3x + y =\) .................... [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [\(x =\)] 5 and [\(y =\)] 4 or (5, 4) seen | B1 | Must be clearly identified/linked to \(x\) and to \(y\) May be on graph | |
| \(3 \times\) their \(x\) + [\(1 \times\)] their \(y\) | M1 | Their \(x\) and their \(y\) can be any values linked to \(x\) and \(y\) Clear substitution required in \(3x + y\) | |
| 19 | B1 | FT their \((x, y)\) | Must see working for FT |