Question

If a system of equations has no solution, it is said to be ________.

   If a system of equations has no solution, it is said to be ________.

Precalculus

Michael Sullivan 10th Edition

Chapter 11, Problem 3

Instant Answer

Solved by Expert Brandon Fox

06/12/2020

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A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values for the variables that satisfy all equations simultaneously. Show more…

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If a system of equations has no solution, it is said to be ________.

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Key Concepts

Consistency and Inconsistency

These terms describe the nature of solutions to a system of equations. A consistent system has at least one solution, meaning the equations agree with each other, while an inconsistent system has no solution because the equations contradict each other, which happens when the constraints imposed by the equations cannot all be simultaneously satisfied.

System of Linear Equations

A system of linear equations consists of multiple linear equations involving the same set of variables. Such systems can be represented in various forms including matrices and are a fundamental concept in algebra, essential for modeling and solving real-world problems with multiple constraints.

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