2.8.12

Simultaneous Equations - Graphs

Test yourself

Solving Simultaneous Equations Graphically

When solving simultaneous equations using a graph, the points where the two lines cross are solutions to the simultaneous equation.

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Example

  • The graph above has two graphs plotted on it
    • yy = xx2 − 2 is in blue.
    • yy = xx is in red.
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Intersection

  • Any point the two graphs cross is called a point of intersection.
  • To solve simultaneous equations, you need to find the points of intersection between two graphs.
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Example cont.

  • One point of intersection is at (2, 2).
    • So one solution for the simultaneous equation is xx = 2 and yy = 2
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Example cont.

  • The other point of intersection is at (−1, −1).
    • So another solution for the simultaneous equation is xx = −1 and yy = −1

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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