OCR MEI C1 — Question 4 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSimultaneous equations
TypeLinear simultaneous equations
DifficultyEasy -1.8 This is a straightforward two-variable linear simultaneous equation with one equation already solved for y, requiring only direct substitution and basic algebraic manipulation. It's significantly easier than average A-level content, being a foundational C1 skill with minimal steps and no conceptual challenge.
Spec1.02c Simultaneous equations: two variables by elimination and substitution1.03a Straight lines: equation forms y=mx+c, ax+by+c=0
4 Find the coordinates of the point of intersection of the lines \(x + 2 y = 5\) and \(y = 5 x - 1\).
Question 4:
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(\left(\frac{7}{11}, \frac{24}{11}\right)\) oe www3
B2 for one coord correct; condone not expressed as coords, iswB2
or M1 for subst or elimination; eg \(x + 2(5x-1) = 5\) oe; condone one errorM1
SC2 for mixed fractions and decimals eg \((3.5/5.5,\ 12/5.5)\)SC2 
## Question 4:

| Answer/Working | Mark | Guidance |
|---|---|---|
| $\left(\frac{7}{11}, \frac{24}{11}\right)$ oe www | 3 | |
| **B2** for one coord correct; condone not expressed as coords, isw | B2 | |
| or **M1** for subst or elimination; eg $x + 2(5x-1) = 5$ oe; condone one error | M1 | |
| **SC2** for mixed fractions and decimals eg $(3.5/5.5,\ 12/5.5)$ | SC2 | |

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4 Find the coordinates of the point of intersection of the lines $x + 2 y = 5$ and $y = 5 x - 1$.

\hfill \mbox{\textit{OCR MEI C1  Q4 [3]}}
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Q1 11 Q2 2 Q3 3 Q4 3 Q5 5 Q6 13 Q7 10 Q8 3