Solve the simultaneous equations:
2x + 3y = 8
4x - y = 6

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Question

Solve the simultaneous equations:
2x + 3y = 8
4x - y = 6

Accepted Answer

x = 1.7, y = 1.53 — 7, y = 1.53 (or x = 17/10, y = 23/15). Award 1 mark for correct answer. Multiply equation 2 by 3: 12x - 3y = 18. Add to equation 1: 14x = 26, giving x = 13/7 ≈ 1.7. Substitute back: y = 4x - 6 = 4(13/7) - 6 = 23/15 ≈ 1.53. A is incorrect — y value is approximate but inconsistent. C is incorrect — y = 4/3 does not satisfy both equations. D is incorrect — does not satisfy either equation.

Answer

x = 2, y = 4/3

Answer

x = 1.7, y = 1.53

Answer

x = 1, y = 2

Answer

x = 2, y = 1.33

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