Question

What is the difference between a consistent and inconsistent system of equations?

Answer 1

A consistent of equations has at least one solution,and an inconsistent system has no solution, watch an example of analyzing a system to see if its consistent or inconsistent.

Answer 2

Answer: see below

Explanation:

Consider the standard form of a linear equation in Slope-Intercept form:

y = mx + b where

• m is the slope
• b is the y-intercept

A CONSISTENT system of equations is where the equations have different slopes OR the same slope and y-intercept.

This results in the lines crossing so they have at least one solution.

An INCONSISTENT system of equations is where the equations have the same slope but different y-intercepts.

This results in parallel lines so they have no solutions.