Foundation June 2025 Paper 3 Q30
30 Solve algebraically the simultaneous equations (3)
\[\begin{aligned} x + 7y &= 14 \\ 3x - y &= 9 \end{aligned}\]| Answer | Mark | Mark scheme |
|---|---|---|
| \(x = 3.5\), \(y = 1.5\) | M1 | for a correct method to eliminate either \(x\) or \(y\) or method leading to substitution (condone one arithmetic error) |
| M1 | (dep M1) for substituting found value in one of the equations or correct method after starting again (condone one arithmetic error) | |
| A1 | (dep M1) for \(x = 3.5\), \(y = 1.5\) oe SCB1 for \(x = 3.5\), \(y = 1.5\) with no supportive working |
Additional guidance
Fractions do not need to be in simplest form