Exploring Linear Equations: Solutions and Their Types

In this video tutorial, CJ introduces math students to different types of solutions in equations: no solution, infinite solutions, and one solution. The video explains how to identify each type by solving equations and analyzing the results. Examples are provided for each scenario, demonstrating how variables cancel out or result in true or false statements. The tutorial emphasizes understanding the conditions that lead to each type of solution.

What are the three types of solutions discussed in the video?

• One solution, two solutions, no solution

• No solution, one solution, two solutions

• One solution, infinite solutions, two solutions

• No solution, infinite solutions, one solution

What happens to the variables in a no solution scenario?

• They remain the same

• They cancel out and result in a false statement

• They double in value

• They become zero

In a no solution problem, what kind of statement do you end up with?

• A true statement

• An undefined statement

• A conditional statement

• A false statement

What is the result when variables cancel out and you get a true statement?

• Undefined solution

• Infinite solutions

• One solution

• No solution

What does it mean when you get 18 = 18 after solving an equation?

• Undefined solution

• Infinite solutions

• One solution

• No solution

What is the first step in solving a one solution problem?

• Distribute the variables

• Add constants to both sides

• Move variables to one side

• Divide by the coefficient

In the example where 70x = 0, what is the value of x?

• 70

• 1

• 0

• 24

What is the result of solving 24x + (-35) = -11?

• x = 1

• x = 0

• x = 24

• x = -1

What does it indicate if you end up with -15 = -10?

• Undefined solution

• No solution

• Infinite solutions

• One solution

What does it mean if you get -4 = -4 after solving an equation?

• Infinite solutions

• One solution

• No solution

• Undefined solution