Linear System of Equations with Parameters Exercises

Solutions

1Solve:

System of Equation

2 Solve:

System of Equation

System of Equation

3Solve:

4 Consider the following system for different values of a and b:

System of Equation

5Solve:

System of Equation

6Consider the following system for different values of a and b:

System of Equation

7Determine for what values of k, the following system has infinite solutions:

System of Equation

8Solve:

System of Equation


1

Solve:

System of Equation

System Operations

System Operations

System Operations

System Operations

System Operations

System Operations

Consistent Independent System

System Operations

System Operations

System Solution


2

Solve:

System of Equation

System Operations

System Operations

System Operations

System Operations

System Operations

Consistent Dependent System

System Operations

System Operations

Consistent Independent System

System Operations

System Operations

System Solution


3

Solve:

System of Equation

System Operations

System Operations

System Operations

System Operations

System Operations

Inconsistent System

System Operations

Consistent Independent System

System Operations

System Operations

System Solution


4

Consider the following system for different values of a and b:

System of Equation

System Operations

System Operations

System Operations

Consistent Independent System

System Operations

System Operations

System Operations

System Operations

Inconsistent System

System Operations

Consistent Dependent System

System Operations

System Operations

System Operations

System Operations

Inconsistent System


5

Solve:

System of Equation

System Operations

System Operations

System Operations

System Operations

Consistent Dependent System

System Operations

System Operations

Inconsistent System


6

Consider the following system for different values of a and b:

System of Equation

System Operations

System Operations

Consistent Independent System

System Operations

Inconsistent System

Consistent Dependent System

System Operations

System Solution

7

Determine for what values of k, the following system has infinite solutions:

System of Equation

System Operations

System Operations

System Operations

System Solution


8

Solve:

System of Equation

System Operations

Inconsistent System