Solving simultaneous linear equations by substitution
I can solve two linear simultaneous equations algebraically using substitution.
Solving simultaneous linear equations by substitution
I can solve two linear simultaneous equations algebraically using substitution.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- You can use your knowledge of changing the subject to rewrite one or both equations.
- If one of the variables is the subject, the equivalent expression can be substituted into the other equation.
- This is another method that involves reducing the number of variables.
Keywords
Elimination - Elimination is a technique to help solve equations simultaneously and is where one of the variables in a problem is removed.
Substitution - Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values, terms, or expressions.
Subject (equation/formula) - The subject of an equation/a formula is a variable that is expressed in terms of other variables. It should have an exponent of 1 and a coefficient of 1
Common misconception
Incorrectly expanding brackets or not using brackets when one expression is substituted into another.
Pupils should always use brackets when substituting. Remind them of the distributive law and that multiplying a negative value by a negative value gives a positive value. Checking final answers should catch these mistakes.
To help you plan your year 10 maths lesson on: Solving simultaneous linear equations by substitution, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Solving simultaneous linear equations by substitution, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Simultaneous equations: 2 variables unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions