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The diagram shows the graph of $$x^2 + y^2 = 30.25$$ .Use the graph to find estimates for the solutions of the simultaneous equations $$x^2 + y^2 = 30.25$$ $$y - 2x = 1$$ - Edexcel - GCSE Maths - Question 21 - 2021 - Paper 1
Question 21
The diagram shows the graph of $$x^2 + y^2 = 30.25$$ .Use the graph to find estimates for the solutions of the simultaneous equations $$x^2 + y^2 = 30.25$$ $... show full transcript
Worked Solution & Example Answer:The diagram shows the graph of $$x^2 + y^2 = 30.25$$ .Use the graph to find estimates for the solutions of the simultaneous equations $$x^2 + y^2 = 30.25$$ $$y - 2x = 1$$ - Edexcel - GCSE Maths - Question 21 - 2021 - Paper 1
Step 1
Step 2
Estimate the points of intersection
Answer
By visually inspecting the graph, we find 2 points where the line intersects the circle. Estimations based on the graph suggest the following coordinates:
- First Intersection: Approximately (2, 5)
- Second Intersection: Approximately (-5, -7)
Providing both points as solutions will allow us to validate the answers.