OCR MEI C1 — Question 2 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeIntersection of two lines
DifficultyModerate -0.8 This is a straightforward simultaneous equations problem requiring substitution of one linear equation into another and basic algebraic manipulation. It's a standard C1 exercise with no conceptual difficulty, requiring only routine algebraic skills, making it easier than the typical A-level question.
Spec1.02c Simultaneous equations: two variables by elimination and substitution

Find the coordinates of the point of intersection of the lines \(y = 5x - 2\) and \(x + 3y = 8\). [4]

Question 2:
AnswerMarks
2x + 3(5x  2) = 8 or y = 5(8  3y)  2
16x = 14 or 16y = 38
AnswerMarks
(7/8, 19/8) oeM1
M1
A2
AnswerMarks
[4]for subst to eliminate one variable; condone
one error;
for collecting terms and simplifying;
condoning one error ft
or x = 14/16, y = 38/16 oe isw
AnswerMarks
allow A1 for each coordinateor multn or divn of one or both eqns to
get a pair of coeffts the same,
condoning one error
appropriate addn or subtn to eliminate a
variable, condoning an error in one
term; if subtracting, condone eg y
instead of 0 if no other errors
Question 2:
2 | x + 3(5x  2) = 8 or y = 5(8  3y)  2
16x = 14 or 16y = 38
(7/8, 19/8) oe | M1
M1
A2
[4] | for subst to eliminate one variable; condone
one error;
for collecting terms and simplifying;
condoning one error ft
or x = 14/16, y = 38/16 oe isw
allow A1 for each coordinate | or multn or divn of one or both eqns to
get a pair of coeffts the same,
condoning one error
appropriate addn or subtn to eliminate a
variable, condoning an error in one
term; if subtracting, condone eg y
instead of 0 if no other errors
Find the coordinates of the point of intersection of the lines $y = 5x - 2$ and $x + 3y = 8$. [4]

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