Three worksheets on solving systems of equations (simultaneous equations) using the methods of substitution and elimination. There is one worksheet on substitution, one worksheet on elimination and one worksheet on both methods. There are 15 problems in each worksheet. Detailed solutions are included.

This comprehensive, no-prep worksheet bundle provides your students with targeted practice solving simultaneous linear equations using both the substitution and elimination methods. It is designed to build fluency, confidence, and algebraic mastery in Key Stage 3 (KS3), Key Stage 4 (KS4), and GCSE Mathematics classrooms.

What is Included in This Bundle

• Solving Simultaneous Equations by Substitution: Features 15 strategic problems ranging from basic substitution to complex equation rearrangement.
• Solving Simultaneous Equations by Elimination: Includes 15 multi-step problems that guide students from simple addition/subtraction elimination to systems requiring multiplication first.
• Mixed Practice (Substitution or Elimination): Offers 15 mixed-method problems where students must choose and apply the most efficient algebraic method to solve.
• Full Step-by-Step Answer Keys: Complete teacher solution guides for all 45 problems showing every single algebraic step, perfect for quick marking, peer assessment, or student self-checking.
• Generous Workspace: Clean, structured layouts providing students with ample room to write out their equations and variable substitutions clearly.

Perfect For

• Independent classwork, homework assignments, or extension tasks
• Comprehensive topic revision, retrieval practice, or GCSE exam preparation (Grade 4/5 mastery)
• Hassle-free cover work and ready-to-use substitute teacher plans

Aligned Educational Standards
UK National Curriculum & GCSE Specifications

• Key Stage 3 & 4 Algebra: Formulate and solve algebraic equations, including pairs of simultaneous linear equations in two variables.
• GCSE Mathematics (AQA, Edexcel, OCR, Eduqas): Solve two simultaneous equations in two variables algebraically by elimination and substitution.
• International Curricula (IGCSE / IB MYP): Solve simultaneous linear equations using multiple algebraic methods and interpret their solutions.