GCSE Maths (AQA)

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Simultaneous Equation Graphs

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Algebra Solving Equations and Inequalities

Simultaneous Equation Graphs

4:19 Simultaneous Equations
Spec A19
Previous Introduction to Simultaneous Equations Next Solving by Elimination
  • Simultaneous equations involve multiple equations and multiple variables
  • The solution to simultaneous equations is the point where the lines intersect on a graph
  • The first equation represents a line with a y-intercept of 3 and a gradient of -1
  • The second equation represents a line with a y-intercept of -1 and a gradient of 3
  • The solution to the pair of equations is x=1, y=2
  • If a point lies on both lines, it satisfies both equations and gives a solution to the simultaneous equations
  • To solve simultaneous equations graphically, rearrange the equations to the form y=mx+c
  • Use the equations to draw lines with the correct gradients and y-intercepts
  • Find the x and y values of the point where the lines meet to get the solution to the simultaneous equations

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