GCSE Maths (Edexcel)

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Deriving Simultaneous Equations

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Algebra Solving Equations and Inequalities

Deriving Simultaneous Equations

4:52 Deriving Equations
Spec A21
Previous Solving by Substitution Next Introduction to Simultaneous Equations
  • Simultaneous equations are a set of multiple equations involving multiple variables
  • They are used to find the values of variables that satisfy all of the equations at the same time
  • Example: finding the current ages of Amy and June using simultaneous equations
  • Step 1: Define variables A and J for Amy and June's ages
  • Step 2: Amy is four times as old as June, so A = 4J
  • Step 3: In 6 years, Amy will be A + 6 and June will be J + 6
  • Step 4: Use the first equation to substitute into the second equation
  • Step 5: Solve the new equation to find J = 3
  • Step 6: Substitute J into the first equation to find A = 12
  • Double check the values to ensure they satisfy the question

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