GCSE Maths (AQA)

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Solving by Elimination

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Algebra Solving Equations and Inequalities

Solving by Elimination

9:06 Simultaneous Equations
Spec A19
Previous Simultaneous Equation Graphs Next Defining Inequalities
  • Simultaneous equations can be solved by subtracting one equation from another to eliminate one variable
  • When rearranging equations, whatever is done to the left hand side must also be done to the right hand side
  • The solution consists of all the values the variables need to take to solve all the equations
  • To solve simultaneous equations, multiply one equation so that one variable has the same coefficient in both equations
  • Subtract one equation from the other to eliminate a variable
  • Solve the new equation to find the value of the remaining variable
  • Substitute the solution back into one of the original equations to find the value of the other variable
  • Check the solution by substituting it into the second equation

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