# When we solve a system of equations by the substitution method, how do we determine whether the...

## Question:

When we solve a system of equations by the substitution method, how do we determine whether the system of equations is inconsistent?

## Systems of Equation

Systems of equations can be identified by the graph of the linear equations. The three types of linear systems are independent, dependent, and inconsistent. Among the three, independent linear systems yields a unique solution.

## Answer and Explanation:

When trying to solve a system of equations by the substitution method, the results would yield unacceptable answers, usually **a constant equals to zero**.

{eq}0=c {/eq}, where c is a constant.

This means that there are no solutions to the problem.

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Inconsistent System of Equations: Definition & Example

from High School Algebra II: Homework Help Resource

Chapter 8 / Lesson 9
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