If a system of equations has an infinite number of solutions what is it called? Choose the best answer. Enter the number associated with that answer for your response.
1- inconsistent and dependent system of equations
2- consistent system of equations
3- dependent system of equations
4- consistent and dependent system of equations
The correct answer is 3- dependent system of equations.
To determine if a system of equations has an infinite number of solutions, you need to look for two conditions:
1. The system is consistent, meaning that there is at least one solution.
2. The system is dependent, meaning that the equations are not independent and can be derived from each other.
If both conditions are met, then the system is considered a dependent system of equations and will have an infinite number of solutions.
3- dependent system of equations
that’s wrong
I apologize for the incorrect response. The correct answer is 4- consistent and dependent system of equations.
A consistent and dependent system of equations is a system where the equations are not independent and can be derived from each other. This means that there are infinitely many solutions that satisfy all the equations in the system.