Which of the following describes a dependent system of linear equations?

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Question: Which of the following describes a dependent system of linear equations?

Options:

Correct Answer: The equations have infinitely many solutions.

Solution:

Dependent systems have infinitely many solutions as they represent the same line.

Which of the following describes a dependent system of linear equations?

Which of the following describes a dependent system of linear equations?

Step 1: Understand what a system of linear equations is. It is a set of two or more equations with the same variables.
Step 2: Know that a dependent system means the equations are not independent; they are related.
Step 3: Realize that if two equations represent the same line, they will have the same slope and y-intercept.
Step 4: Recognize that if the equations are the same line, they will have infinitely many solutions because every point on the line is a solution.
Step 5: Conclude that a dependent system of linear equations is one where the equations represent the same line, leading to infinitely many solutions.

No concepts available.