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Simultaneous Equations•
Solving Equations

Solving Linear Simultaneous Equations - Same Coefficients WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Solving linear eqautions with one variable.
Learning Objective: Solve two simultaneous equations in two variables.

Solving Linear Simultaneous Equations - Same Coefficients WORKSHEET DESCRIPTION

Let your students focus on which variable to eliminate and how with this worksheet, which consists of pairs of linear simultaneous equations where one coefficient is the same in both equations.

Section A acts as a warm up as pupils use substitution to check whether given values are the correct solutions to five pairs of equations.

In Section B, learners will decide which variable should be eliminated and whether addition or subtraction should be used in order to eliminate it in a further five pairs of equations.

Students will solve 8 systems of simultaneous equations in Section C. All solutions are integers and most are positive.

Lastly, Section D asks pupils to form and solve a pair of simultaneous equations in order to solve a worded problem.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Cazoom Maths Solving Linear Simultaneous Equations - Same Coefficients Worksheet suitable for Year 10 and Year 11 students

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Frequently Asked Questions

Students should be confident with solving linear equations with one variable before tackling this resource. This foundation is essential because the elimination method ultimately reduces the simultaneous equations to a single linear equation in one variable. Without this prerequisite skill, pupils will struggle with the final solving step even if they successfully eliminate one variable.