Question: In a system of linear equations, what does it mean if the equations are inconsistent?
Options:
There is exactly one solution.
There are infinitely many solutions.
There is no solution.
The equations are dependent.
Correct Answer: There is no solution.
Solution:
Inconsistent equations do not intersect, meaning there is no solution.
In a system of linear equations, what does it mean if the equations are inconsis
Practice Questions
Q1
In a system of linear equations, what does it mean if the equations are inconsistent?
There is exactly one solution.
There are infinitely many solutions.
There is no solution.
The equations are dependent.
Questions & Step-by-Step Solutions
In a system of linear equations, what does it mean if the equations are inconsistent?
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: Visualize the equations as lines on a graph. Each equation represents a line.
Step 3: Check if the lines intersect. If they do, it means there is a solution where the lines meet.
Step 4: If the lines do not intersect at any point, this means there is no solution to the system.
Step 5: When there is no solution, we say the equations are inconsistent.
Inconsistent Equations – Inconsistent equations are a set of linear equations that have no common solution, indicating that their graphs do not intersect.
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