OCR MEI C1 2016 June — Question 2 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2016
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSimultaneous equations
TypeLinear simultaneous equations
DifficultyEasy -1.8 This is a straightforward two-equation system with simple coefficients requiring only substitution and basic algebra. It's significantly easier than average A-level content—more of a GCSE-level skill check with minimal computational complexity and no conceptual challenge.
Spec1.02c Simultaneous equations: two variables by elimination and substitution

2 Find the coordinates of the point of intersection of the lines \(2 x + 3 y = 12\) and \(y = 7 - 3 x\).

Question 2:
AnswerMarks Guidance
substitution to eliminate one variableM1 or multiplication/division to make one pair of coefficients the same; condone one error in either method
simplification to \(ax=b\) or \(ax-b=0\), or equivalent for \(y\)M1 or appropriate subtraction/addition; condone one further error; independent of first M1
\((9/7, 22/7)\) oe or \(x=9/7\), \(y=22/7\) oe iswA2 (A1 each) A0 for just rounded decimals or for \(-9/-7\) oe [4]
# Question 2:
substitution to eliminate one variable | M1 | or multiplication/division to make one pair of coefficients the same; condone one error in either method
simplification to $ax=b$ or $ax-b=0$, or equivalent for $y$ | M1 | or appropriate subtraction/addition; condone one further error; independent of first M1
$(9/7, 22/7)$ oe or $x=9/7$, $y=22/7$ oe isw | A2 (**A1** each) | A0 for just rounded decimals or for $-9/-7$ oe [4]

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2 Find the coordinates of the point of intersection of the lines $2 x + 3 y = 12$ and $y = 7 - 3 x$.

\hfill \mbox{\textit{OCR MEI C1 2016 Q2 [4]}}