SOLUTION: Consider the following system of equations. y=3x-7 y-3x=5 What can you conclude about the system of equations? ( ) The system of equations is inconsistent. ( ) The sys

Algebra ->  Equations -> SOLUTION: Consider the following system of equations. y=3x-7 y-3x=5 What can you conclude about the system of equations? ( ) The system of equations is inconsistent. ( ) The sys      Log On


   

Question 853992: Consider the following system of equations.
y=3x-7
y-3x=5
What can you conclude about the system of equations?
( ) The system of equations is inconsistent.
( ) The system of equations is dependent.
( ) The system of equations is independent.
( ) none of these

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A consistent system has at least one solution.

An inconsistent system has no solutions.  

An independent system has exactly one solution.

A dependent system has infinitely many solutions.

y-3x = -7

y-3x = 5     Subtracting 2nd from 1st EQ

    -7 ≠ -5,  There is NO solution to this system