This document provides instructions to solve three systems of linear equations using graphical, substitution, equalization, and elimination methods. The systems include a) two equations with variables x and y, b) two equations with variables x and y, and c) two equations with variables x and y. For each system, the document prompts the reader to use each of the four methods to solve the system and identify what type of system it is.

1. UNIT 05 January
1. Solve using the four methods and write what kind of system we have:
a) �
𝟐𝟐𝒙𝒙 − 𝒚𝒚 = 𝟎𝟎
𝒙𝒙 + 𝒚𝒚 = 𝟑𝟑
GRAPHICAL METHOD
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.1.1

2. UNIT 05 January
SUBSTITUTION METHOD
EQUALIZATION METHOD
ELIMINATION METHOD
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.1.2

3. UNIT 05 January
b) �
𝟔𝟔𝒙𝒙 + 𝟐𝟐𝟐𝟐 = 𝟔𝟔
𝟑𝟑𝒙𝒙 + 𝒚𝒚 = 𝟎𝟎
GRAPHICAL METHOD
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.1.3

4. UNIT 05 January
SUBSTITUTION METHOD
EQUALIZATION METHOD
ELIMINATION METHOD
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.1.4

5. UNIT 05 January
c) �
𝒙𝒙 − 𝒚𝒚 = 𝟏𝟏
𝟐𝟐𝒙𝒙 − 𝟐𝟐𝟐𝟐 = 𝟐𝟐
GRAPHICAL METHOD
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.1.5

6. UNIT 05 January
SUBSTITUTION METHOD
EQUALIZATION METHOD
ELIMINATION METHOD
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.1.6