Higher June 2023 Paper 2 Q11
11 Use algebra to solve the simultaneous equations
\[\begin{aligned} 2x + 6y &= 5 \\ 3x - 4y &= -12 \end{aligned}\](4)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(x = -2\), \(y = 1.5\) | M1 | for a correct process to eliminate one variable (condone one arithmetic error) |
| A1 | for either \(x = -2\) or \(y = 1.5\) oe | |
| M1 | (dep M1) for substituting found value in one of the equations or correct process after starting again (condone one arithmetic error) | |
| A1 | for \(x = -2\), \(y = 1.5\) oe SCB2 for both correct answers if no more than 1 mark awarded SCB1 for one correct answer if no marks awarded |
Additional guidance
Fractions do not need to be in simplest form