SOLUTION: Find the common solution for the system of equations given below. -1/4x+y=-2 -x+4y=-8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the common solution for the system of equations given below. -1/4x+y=-2 -x+4y=-8      Log On


   

Question 1016547: Find the common solution for the system of equations given below.
-1/4x+y=-2
-x+4y=-8
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
For this system
-1/4x + y = -2
-x + 4y = -8
a curious thing happens...
Did you notice that if you multiply the first one by 4, you get the second one?
Thus these represent the very same line.
That means they are a dependent system with an infinite number of solutions.