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Examples, solutions, and videos to help GCSE Maths students learn how to solve simultaneous equations by elimination.
Solving Simultaneous Equations
Solving simultaneous equations means finding the values of the variables that satisfy all equations in the system at the same time. There are several methods to do this, and the best choice often depends on the specific equations.
Some common methods are: Substitution Method, Elimination Method and Graphical Method.
In this lesson, you will learn how to solve simultaneous equations using the Elimination Method.
Check out this other lesson on how to use the Substitution Method.
Check out this other lesson on how to use the Graphical Method.
The following diagram shows an example of solving simultaneous equations using the Elimination Method or Addition/Subtraction Method. Scroll down the page for more examples and solutions of solving simultaneous equations.
Algebra Worksheets
Practice your skills with the following Algebra worksheets:
Printable & Online Algebra Worksheets
Solving Simultaneous Equations using the Elimination Method
The Elimination Method involves manipulating the equations (multiplying by constants) so that when you add or subtract them, one of the variables is eliminated. This method is useful when variables have coefficients that are easy to make opposites or identical.
Steps:
Special Cases:
Solving Simultaneous Equations by Elimination Example 1
This video demonstrates how to solve simultaneous equations by elimination.
Example:
4x + 3y = 17
7x - y = 36
Solving Simultaneous Equations by Elimination Example 2
Example:
5x + 3y = 41
2x + 5y = 43
Solving Simultaneous Equations by Elimination Example 3
Example:
4x + 6y = 18
11x - 8y = -73
Eliminate y
Solving Simultaneous Equations by Elimination Example 4
Example:
4x + 6y = 18
11x - 8y = -73
Eliminate x
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