Solving Linear Simultaneous Equations - Three Methods WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Graphing Linear Equations. Algebraic manipulation including substitution.

Solving Linear Simultaneous Equations - Three Methods WORKSHEET DESCRIPTION

This worksheet requires students to practise three methods for solving linear simultaneous equations: graphically, by elimination, and by substitution.

In Section A, students solve two pairs of simultaneous equations using all three methods. The first set presents a simple system where the sum and difference of x and y are given, making elimination a natural approach. The second set involves equations in the form y = mx + c, reinforcing graphical solutions.

Section B challenges students to select the most efficient method to solve new pairs of equations.

Coordinate grids are provided for each question, as is ample room for pupils’ workings out.

Frequently Asked Questions

This simultaneous equations worksheet is designed for students in Year 10 and Year 11 and aligns with the UK National Curriculum.