This deep dive covers Method 2: Solving Simultaneous Equations Graphically within Graphical Solutions for GCSE Mathematics. Revise Graphical Solutions in Algebra for GCSE Mathematics with 9 exam-style questions and 6 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 5 of 10 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Method 2: Solving Simultaneous Equations Graphically
- Plot both lines on the same axes
- Find intersection point where lines cross
- Read coordinates (x, y) of intersection
- Check solution in both original equations
- Consider special cases: parallel lines (no solution), same line (infinite solutions)
Practice questions for Graphical Solutions
A straight line y = 3x − 6 is plotted on a graph. Where does the solution to 3x − 6 = 0 appear on the graph?
A student tries to solve the simultaneous equations y = 3x + 2 and y = 3x − 5 graphically. Explain what they will see on the graph and what this means for the solution.
Quick recall flashcards
Graphical Solution
Finding where two graphs intersect gives the solution to simultaneous equations
Intersection Point
The point where two graphs cross - this gives x and y values that satisfy both equations