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Simultaneous Linear Equations – Methods, Examples & Worksheet
Introduction
Simultaneous linear equations are an essential part of algebra and are widely used in mathematics, physics, economics, and real-life problem solving. These equations help us find the values of two or more unknowns that satisfy all equations at the same time.
In this guide, we will cover:
What simultaneous linear equations are
Step-by-step methods to solve them
Worked examples with solutions
A free worksheet for practice
Whether you’re preparing for GCSE, SAT, or just brushing up on algebra, this article will give you everything you need.
Methods to Solve Simultaneous Linear Equations
1. Substitution Method
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Solve one equation for one variable.
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Substitute this value into the other equation.
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Solve for the second variable.
Example:
3. Graphical Method
Rewrite equations in the form y=mx+c .
Plot both equations on a graph.
The point of intersection is the solution.
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