If a system of equations has one solution, the system is _______ and the equations are ________.

Vincent Norman

Vincent Norman

Answered question

2022-10-16

If a system of equations has one solution, the system is _______ and the equations are ________.

Answer & Explanation

honejata1

honejata1

Beginner2022-10-17Added 10 answers

This task aims to fill in the blanks the appropriate words that would make the sentence complete.
Recall that a system of equations is a collection of equations containing one or more variables. When solving systems of three equations containing three variables, it has three conditions.
1. One Solution: a consistent system with independent equations
2.No Solution: an inconsistent system
3. Infinitely Many Solutions: a consistent system with dependent equations.
Therefore, if a system of equations has one solution, the system is consistent and the equations are independent.
Result:
consistent; independent
Trace Glass

Trace Glass

Beginner2022-10-18Added 1 answers

A system of equations that intersect at one point (meaning it has one solution) is a consistent system and the equations are independent.
Result:
consistent, independent

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