Solving Simultaneous Linear Equations by Substitution and Elimination

Solve simple simultaneous equations by substitution where one equation already gives a variable in terms of the other, or by elimination where coefficients already match.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA6-5
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y10-02

Resources

Terminology

  • Simultaneous equations
  • Substitution
  • Elimination
  • Coefficient
  • Variable
  • Solution pair

Task goals

  • Foundation: Solve simple simultaneous equations by substitution where one equation already gives a variable in terms of the other, or by elimination where coefficients already match.
  • Proficient: Solve simultaneous equations by elimination, multiplying one or both equations by a constant to adjust coefficients before adding or subtracting.
  • Excellence: Form and solve simultaneous equations from worded real-world contexts, choosing an efficient method and interpreting the solution pair in context.

Where this fits

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Solving Simultaneous Linear Equations by Substitution and Elimination

Solving Simultaneous Linear Equations by Substitution and Elimination

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Forming and solving linear equations and linear inequalities with rational number coefficients (e.g. −2/5 x + 5 ≤ −10), giving exact or rounded solutions, and representing the solution on a number line

Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-02

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