SOLUTION: Write a system of linear equations that has no solution. Represent it geometrically. Describe in words a situation that could be modeled by this system.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Write a system of linear equations that has no solution. Represent it geometrically. Describe in words a situation that could be modeled by this system.      Log On


   

Question 939688: Write a system of linear equations that has no solution. Represent it geometrically.
Describe in words a situation that could be modeled by this system.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let us take two equations
ax1+by1+c=0
and ax2+by2+c2 =0
If the equations don't have a solution then the condition for this will be
a1%2Fa2+=+a2%2Fb2 not equal to c1%2Fc2
The slopes of the lines will be same.
They will be parallel lines
only the Y intercepts will be different
3x+6y = 8
6x+12y = 15
are examples of the system