OCR MEI C1 — Question 8 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeIntersection of two lines
DifficultyEasy -1.2 This is a straightforward substitution problem requiring students to substitute x=7 into both equations and solve for the unknowns. It involves only basic algebraic manipulation with no problem-solving insight needed, making it easier than average but not trivial since it requires careful handling of two unknowns.
Spec1.02c Simultaneous equations: two variables by elimination and substitution1.03a Straight lines: equation forms y=mx+c, ax+by+c=0
8 The lines \(y = 5 x - a\) and \(y = 2 x + 18\) meet at the point ( \(7 , b\) ).
Find the values of \(a\) and \(b\).
Question 8:
AnswerMarks
\(5x-a = 2x+18 \Rightarrow 3x = 18+a\)M1
\(\Rightarrow 18+a=21 \Rightarrow a=3\)M1 A1
Also \(2\times7+18=b \Rightarrow b=32\)M1 A1 
## Question 8:
$5x-a = 2x+18 \Rightarrow 3x = 18+a$ | M1 |
$\Rightarrow 18+a=21 \Rightarrow a=3$ | M1 A1 |
Also $2\times7+18=b \Rightarrow b=32$ | M1 A1 |

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8 The lines $y = 5 x - a$ and $y = 2 x + 18$ meet at the point ( $7 , b$ ).\\
Find the values of $a$ and $b$.

\hfill \mbox{\textit{OCR MEI C1  Q8 [5]}}
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