Tutorial

GCSE Maths: Solving Linear Simultaneous Equations

Learn to solve a pair of linear simultaneous equations to find the values of two unknown variables. This deck covers the graphical representation of a solution, and the two main algebraic methods: elimination and substitution.
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Deck Contents

25 Cards
Lesson#1
Welcome to this deck on solving linear simultaneous equations. You'll learn what these equations are and how to solve them using two key methods: elimination and substitution. This is a powerful skill for solving problems with more than one unknown.
Lesson#2
So, what are simultaneous equations? The key idea is that you are finding a set of values that makes more than one equation true 'at the same time'. That's what simultaneous means. To find the values of two unknowns, like x and y, you'll generally need two equations.
Quiz#3
What does the word 'simultaneous' mean when we talk about simultaneous equations?

at the same time

Quiz#4
How many equations do you usually need to find the values of two unknown variables?

two

Lesson#5
Each linear equation can be drawn as a straight line on a graph. When you have a pair of linear simultaneous equations, you have two straight lines. The solution to the pair of equations is the one point on the graph where those two lines cross over.
Quiz#6
Graphically, what does the solution to a pair of linear simultaneous equations represent?

the point of intersection

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