Question

Two lines, A and B, are represented by the equations given below:

Answer 1

Let's actually find the sol'n set.

Line A: 2x + 2y = 8
Line B: x + y = 4

becomes

 2x + 2y = 8
   x +   y = 4
------------------   Multiply the 2nd equation by -2, obtaining -2x - 2y = -8,         
                         and then add your result to the first equation:

 2x + 2y = 8
-2x - 2y = -8
-------------------   Combine all 3 columns.
  0   +  0  = 0

0 always = 0, so there are infinitely many solutions to this system.