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Solving Linear Simultaneous Equations – Same Coefficients worksheet

Suitable for Year groups: 8, 9
GCSE Tier:
Foundation/Higher
Targeting grades: 4-5
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Prerequisite knowledge: Solving linear eqautions with one variable.
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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.

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