 # System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point.

## Presentation on theme: "System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point."— Presentation transcript:

System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point of intersection is _____. 2. Substitute the coordinates of the intersection point into both equations of the system. The solution of the system is _____. Write a rule for solving a system of linear equations graphically. Chapter 6 Discovery 1

Solve the given system of linear equations by graphing both equations on the same integer screen. Write a rule for determining, by graphing, that a system of linear equations is inconsistent -- in other words, has no solution. Inconsistent System of Linear Equations Chapter 6 Discovery 2

System of Dependent Linear Equations Solve the given system of linear equations by graphing both equations on the same integer screen. Write a rule for determining, by graphing, that a system of linear equations consists of dependent equations -- in other words, that it has an infinite number of solutions. Chapter 6 Discovery 3

Solve the given system of linear equations by using substitution. Write a rule for determining, by using the substitution method, that a system of linear equations is inconsistent -- in other words, that it has no solution. Inconsistent System of Linear Equations Chapter 6 Discovery 4

System of Dependent Linear Equations Solve the given system of linear equations by using substitution. Write a rule for determining, by using the substitution method, that a system of linear equations has dependent equations -- in other words, an infinite number of solutions. Chapter 6 Discovery 5

Solve the given system of linear equations by using elimination. Write a rule for determining, by using the elimination method, that a system of linear equations is inconsistent -- in other words, or that it has no solution. Inconsistent System of Linear Equations Chapter 6 Discovery 6

System of Dependent Linear Equations Solve the given system of linear equations by using elimination. Write a rule for determining, by using the elimination method, that a system of linear equations has dependent equations -- in other words, an infinite number of solutions. Chapter 6 Discovery 7

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