SYSTEMS OF LINEAR EQUATIONS

AND INEQUALITIES

Week 03: Special Systems of Linear Equations Prepared by: Jojo M. Lucion

ACTIVITY 3

Let's Practice for Mastery

A. Think and Discuss.

1. Describe the graphs and slopes of a system of equations with no solution.

2. Describe the graphs, slopes and y - intercepts of a system of equations with an infinite

number of solutions.

3. Describe the graphs of a system of equations that has one solution.

4. What is the difference between consistent and inconsistent systems of equations?

5. What do you mean when you say a system of equations is dependent or independent?

Let's Check Your Understanding

Fill the blanks with the correct word or group of words that will make the statement true.

1. The graphs of a system of equations with no solutions are __________________. 2. A

consistent system of linear equations has ______________ solution.

3. A system of linear equations in two variables which has an infinite number if solutions is

called a/ an ________________ system.

4. The slope of parallel lines are _______________.

5. The graphs of a dependent system are ____________________ lines.

Let's Practice for Mastery MORE!

State whether the system is

A. Consistent and Independent

B. Consistent and Dependent

C. Inconsistent

3.

1. 2.

4.

5.

6.

7.

8.

Let's Check Your Understanding

Tell whether the system is

A. Consistent and Independent

B. Consistent and Dependent

C. Inconsistent