# Math Tutorial 9.8 - Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation

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There are 2 lessons in this math tutorial covering Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation. The tutorial starts with an introduction to Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What are the examples of special cases of linear equation systems?
• What are independent systems of linear equations? How many solutions do they have?
• What are independent systems dependent and inconsistent systems of linear equations. How many solutions do they have?
• How many points do the graphs of equations involved in a dependent system of linear equations have?
• How many points do the graphs of equations involved in a dependent and inconsistent systems of linear equations have?
• How do we solve systems of equations where one equation is linear and one quadratic?
• How to solve systems of equations where both of them are quadratic? How many possible solutions do such systems have?

## Introduction

Do you think all linear systems always have a pair of numbers as a solution set? Try to solve this system

x + y = 32x + 2y = 7

What about the system of linear equations below? Does it have just a single pair of solutions?

x - 2y = 62x - 4y = 12

The two systems above are not like the ones we discussed in the previous tutorial. As we will see here, not all linear systems are such that their graphs intercept at a single point. Moreover, not all systems of equations are linear; some of them may contain quadratic or other types of equations. Hence, it is necessary to further elaborate on the concept of systems of equations, in order to explore the possible ways of solutions.

Please select a specific "Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Equations Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
9.8Relationship between Equations in Linear Systems. Systems of Equations with One Linear and One Quadratic Equation
Lesson IDMath Lesson TitleLessonVideo
Lesson
9.8.1Special Cases of Linear Equations
9.8.2Systems of Equations with One Linear and One Quadratic Equation

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