Question
In a system of equations, there are infinite solutions when:
*
1 point
the equations create a false statement
the equations are identical
the equation create a value for both x and y
*
1 point
the equations create a false statement
the equations are identical
the equation create a value for both x and y
Answers
GPT-4o mini
In a system of equations, there are infinite solutions when **the equations are identical**.
When two or more equations represent the same line in a plane, every point on that line is a solution to the system, resulting in infinitely many solutions.
The other options would not lead to infinite solutions:
- A false statement indicates that the system has no solutions.
- Creating a value for both x and y typically refers to a single solution, not infinite solutions.
When two or more equations represent the same line in a plane, every point on that line is a solution to the system, resulting in infinitely many solutions.
The other options would not lead to infinite solutions:
- A false statement indicates that the system has no solutions.
- Creating a value for both x and y typically refers to a single solution, not infinite solutions.