O-LevelAdditional MathematicsSimultaneous equations4037/22 · May/June 2018 · Q45 Marks
Find the coordinates of the points where the line 2y - 3x = 6 intersects the curve x²/4 + y²/9 = 5.
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1] Eliminates one of the unknowns
- [A1] Simplifies to a correct 3-term quadratic: 2x² + 4x - 16 [= 0] oe or 2y² - 6y - 36 [= 0] oe
- [M1] Factorises or solves (x+4)(x-2) = 0 oe or (y+3)(y-6) = 0 oe; FT their 3-term quadratic in x or y;
- [A2] (2, 6) and (-4, -3) oe (A1 for either (2, 6) or (-4, -3) or A1 for x = 2 and x = -4 or y = 6 and y = -3)
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