AQA · Mathematics · 8300
GCSE Maths: Simultaneous equations (graphical)
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Simultaneous equations (graphical) (Corbettmaths Video 297), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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How do you solve simultaneous equations graphically?
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By finding the coordinates of the point where the two graphs intersect.
What does the x-coordinate of the intersection point represent when solving simultaneous equations graphically?
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The value of x that satisfies both equations simultaneously.
What does the y-coordinate of the intersection point represent when solving simultaneous equations graphically?
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The value of y that satisfies both equations simultaneously.
If two lines do not intersect on a visible graph, does this mean the simultaneous equations have no solution?
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No, the lines may intersect outside the visible region of the graph. Extend the graph or use algebraic methods.
When solving simultaneous equations graphically, why must both lines be drawn accurately?
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Because the solution depends on finding the precise intersection point, and inaccurate lines give an incorrect solution.
What common mistake can occur when reading the intersection point from a graph?
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Misreading the coordinates due to scale or not reading the exact point, leading to an incorrect solution.
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