Respuesta :
Answer:
Inconsistent
Step-by-step explanation:
A system of linear equations that has at least one solution is called consistent, whereas a system of linear equations that has no solutions is called inconsistent.
A system of linear equations that has no solution is a set of inconsistent equations.
The correct answer is an option (B)
What is an equation?
"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is system of equations?
"It is a set of equations for which we find a common solution."
What is consistent system of equations?
"A system of equations is consistent if there is at least one set of values that satisfies each equation in the system."
What is inconsistent system of equations?
"A system of equations is inconsistent if there is no solution to the given system of equations."
From the definition, we can see that the system of equations is inconsistent if a system of equations has no solution.
Therefore, A system of linear equations that has no solution is a set of inconsistent equations.
The correct answer is an option (B)
Learn more about a system of equations here:
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