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Brainlag Learn / GCSE Maths

Simultaneous equations

Solve two equations at once by elimination, substitution and graphs, form them from problems, and (Higher) solve a linear and a quadratic equation together.

Lessons

  1. Solving by eliminationAdd or subtract the equations to remove one letter, multiplying first when the numbers do not match. 25 min, with the Equation Solver, free
  2. Solving by substitutionWhen one equation already says y = ... (or x = ...), put that expression into the other equation. 20 min, free
  3. Solving with graphsThe solution of two linear equations is where their lines cross; parallel lines have no solution. 20 min, with the Straight-line graphs simulation, Plus
  4. Forming simultaneous equationsTurn two facts into two equations, solve them, and answer the question in context. 25 min, Plus
  5. A linear and a quadratic equationSubstitute the linear equation into the quadratic one, solve the quadratic, then find the matching values. 25 min, with the Graphing Calculator, Plus, Higher tier

Practise and test

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