Two lines, a and b, are represented by the following equations: line a: 4x + 4y = 16 line b: x + y = 4 which statement is true about the solution to the set of equations? (4 points) it is (1, 2). there are infinitely many solutions. it is (1, 5). there is no solution.

The correct answer is:  [B]:

    "There are infinitely many solutions."

   (e.g. (0, 4), (1, 3), (-1, 5), (-2, 6), (-3, 7), (2, 2), (3, 1) ...

Note:

If we take the "first equation"; which is:

    " 4x + 4y = 16 " ; 

And divide "EACH SIDE of the equation by "4" ; 

   {4x + 4y) / 4 = 16 / 4 ; 

→ 4x/4  + 4y /4 = 4 ; 

→  x + y = 4 ; 

which is the same as the "second equation" given:

→ x + y = 4 . 

Hnmmmn not sure