Two lines, A and B, are represented by the equations given below:Line A: 2x + 2y = 8Line B: x + y = 4Which statement is true about the solution to the set of equations? (5 points) It is (8, 4). It is (4, 8). There is no solution. There are infinitely many solutions.

Question
Answer:
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.

solved
general 10 months ago 4718