Easy -1.8 This is a straightforward two-variable linear simultaneous equations problem with simple coefficients, requiring only substitution and basic arithmetic. It's significantly easier than average A-level content, being a fundamental AS-level skill with no complications.
Solving \(y = 3x - 2\) and \(x + 2y = 10\) simultaneously; e.g. \(x + 2(3x-2) = 10\) or \(6x - 2y = 4\), \(x + 2y = 10\); giving \(7x = 14 \Rightarrow x = 2\)
M1
Attempt at elimination or substitution or solution of simultaneous equations BC. May be implied by the correct answers; award full marks for correct BC solution
When \(x = 2\), \(y = 4\); [So the point of intersection is \((2, 4)\)]
A1
cao
Total: [2]
## Question 1:
| Answer | Marks | Guidance |
|--------|-------|----------|
| Solving $y = 3x - 2$ and $x + 2y = 10$ simultaneously; e.g. $x + 2(3x-2) = 10$ or $6x - 2y = 4$, $x + 2y = 10$; giving $7x = 14 \Rightarrow x = 2$ | M1 | Attempt at elimination or substitution or solution of simultaneous equations BC. May be implied by the correct answers; award full marks for correct BC solution |
| When $x = 2$, $y = 4$; [So the point of intersection is $(2, 4)$] | A1 | cao |
**Total: [2]**
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1 Find the coordinates of the point of intersection of the lines $y = 3 x - 2$ and $x + 2 y = 10$.
\hfill \mbox{\textit{OCR MEI AS Paper 1 2021 Q1 [2]}}