This document contains a series of systems of equations to solve, including: aa) a system with equations x + y^2 = 3 and x^2 - y = 3; bb) a system with equations x^2 + y^2 = 22 and x^2 - y^2 = -22; cc) a system with equations x^2 + y^2 = 2 and x - y = -1. It provides exercises for solving these and other systems of equations.

1. UNIT 05 January
1. Solve these systems:
𝒂𝒂) �
𝒙𝒙 + 𝒚𝒚𝟐𝟐
= 𝟑𝟑
𝒙𝒙𝟐𝟐
− 𝒚𝒚 = 𝟑𝟑
𝒃𝒃) �
𝒙𝒙𝟐𝟐
+ 𝒚𝒚𝟐𝟐
= 𝟐𝟐𝟐𝟐
𝒙𝒙𝟐𝟐
− 𝒚𝒚𝟐𝟐
= −𝟐𝟐𝟐𝟐
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.2.1

2. UNIT 05 January
𝒄𝒄) �
�𝒙𝒙𝟐𝟐 + � 𝒚𝒚𝟐𝟐 = 𝟐𝟐
𝒙𝒙 − 𝒚𝒚 = −𝟏𝟏
𝒅𝒅) �
� 𝒚𝒚 + 𝟏𝟏 = 𝒙𝒙 − 𝟏𝟏
𝒚𝒚
𝒙𝒙
= 𝟐𝟐
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.2.2

3. UNIT 05 January
𝒆𝒆) �
𝒚𝒚 − 𝟏𝟏
𝒙𝒙 + 𝟐𝟐
+
𝒙𝒙 + 𝟐𝟐
𝒚𝒚 + 𝟏𝟏
= 𝟎𝟎
𝟑𝟑𝟑𝟑 − 𝒚𝒚 = −𝟓𝟓
𝒇𝒇) �
√𝒙𝒙 + 𝟏𝟏 = −𝒚𝒚 − 𝟏𝟏
�−𝟐𝟐𝟐𝟐 + 𝟑𝟑 = 𝟑𝟑
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.2.3

4. UNIT 05 January
𝒈𝒈) �
√𝒙𝒙 + 𝟒𝟒
𝟐𝟐
= � 𝒚𝒚
√𝒙𝒙 − 𝒚𝒚 = −𝟏𝟏
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.5.2.4