Questions and Answers
What is the solution to a system of linear equations in two variables?
A single point
What does it mean if a system of linear equations has no solution?
The lines are parallel
In a system of linear equations, what does it mean if the number of solutions is infinite?
The lines coincide
Study Notes
Solution to a System of Linear Equations in Two Variables
- The solution to a system of linear equations in two variables is the point of intersection of the two lines, represented by the x and y values that satisfy both equations.
Characteristics of Systems with No Solution or Infinite Solutions
- A system of linear equations has no solution if the lines are parallel and never intersect, indicating that there is no common point that satisfies both equations.
- A system of linear equations has an infinite number of solutions if the lines are coincident, meaning they are the same line and every point on the line satisfies both equations.
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Description
Test your understanding of systems of linear equations in two variables by answering questions about their solutions, no solution scenarios, and cases with infinite solutions.
