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

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4 ESO Academics - Unit 05 - Exercises 4.5.2 - Other Types of 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