Exam-style question
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B4: Explain how to approach solving simultaneous equations in two variables by elimination… in an AQA A-level Mathematics question. Your answer should identify the method, the key notation and one check on the final result.
Model answer
What a good answer should say
- Choose elimination when two linear equations can be combined to remove one variable efficiently.
- Multiply one or both equations if necessary, subtract or add to eliminate a variable, then substitute back to find the matching coordinate.
- The answer should be an ordered pair that satisfies both original equations.
- A common error is finding one variable and forgetting to calculate the other, leaving the simultaneous-equation solution incomplete.
This answer is tied to the objective: B4 Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation..
Explanation
Why this works
Use the explanation to connect the worked answer back to B4 Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation..
This B4 response is specific to elimination in simultaneous equations and explains how the ordered pair is checked against both equations.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.