SOLUTION: Determine whether the system is consistent, inconsistent, or dependent. 4x - 5y = -12 16x - 20y = -48

Algebra ->  Graphs -> SOLUTION: Determine whether the system is consistent, inconsistent, or dependent. 4x - 5y = -12 16x - 20y = -48      Log On


   

Question 970388: Determine whether the system is consistent, inconsistent, or dependent.
4x - 5y = -12
16x - 20y = -48
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply everything in equation 1 by 4

You'll go from 4x - 5y = -12 to 16x - 20y = -48 which is 100% identical to equation 2. Therefore, this means equation 1 and equation 2 are the same equation.

So they produce the same graphs. This system is dependent and there are infinitely many solutions.