Higher June 2024 Paper 1 Q10
10 Solve the simultaneous equations (4)
\[\begin{aligned} 5x - 2y &= 23 \\ 2x - 3y &= 18 \end{aligned}\]| Answer | Mark | Mark scheme |
|---|---|---|
| \(x = 3\) \(y = -4\) | M1 | for a correct method to eliminate either variable or rearrangement of one equation leading to substitution (condone one arithmetic error) |
| A1 | for either \(x = 3\) or \(y = -4\) | |
| M1 | (dep M1) for a correct substitution of found value into one of the equations or a correct method leading to the second value (condone one arithmetic error) | |
| A1 | for \(x = 3\) and \(y = -4\) NB Trial and improvement methods score 0 marks unless both \(x\) and \(y\) are correct |