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.