SOLUTION: How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?      Log On


   

Question 242900: How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution? 

When you simplify the equation, if you end up with no variables
or unknowns and the resulting equation has only numbers in it, 
that is, no letters, then:

1.  If the resulting equation is true, such as 2 = 2 or 0 = 0
    or -7 = -7, etc. then the equation has infinitely many solutions.

2.  If the resulting equation is false, such as 2 = 3 or 7 = 5
    or -7 = 7, etc. then the equation has no solution.

Edwin