Easy -1.2 This is a straightforward simultaneous equations question with linear equations in two variables, requiring only substitution and basic algebraic manipulation. It's a routine C1 exercise with minimal steps (3 marks) and no conceptual challenges beyond standard technique application, making it easier than average.
for subst or for rearrangement and multn to make one pair of coefficients the same or for both eqns in form '\(y =\)' (condone one error)
\(10x = 3\) or \(10y = 19\) o.e. \((0.3, 1.9)\) or \(x = 0.3\) and \(y = 1.9\) o.e.
A1 mark
graphical soln: (must be on graph paper) M1 for each line, A1 for \((0.3, 1.9)\) o.e cao; allow B3 for \((0.3, 1.9)\) o.e
3 marks
$x + 3(3x + 1) = 6$ o.e. | M1 mark | for subst or for rearrangement and multn to make one pair of coefficients the same or for both eqns in form '$y =$' (condone one error)
$10x = 3$ or $10y = 19$ o.e. $(0.3, 1.9)$ or $x = 0.3$ and $y = 1.9$ o.e. | A1 mark | graphical soln: (must be on graph paper) M1 for each line, A1 for $(0.3, 1.9)$ o.e cao; allow B3 for $(0.3, 1.9)$ o.e
| | 3 marks |