Question

Which method would be the simplest way to solve the system?

Answer 1

elimination method 
7x+5y=19
-7x-2y=-16
just add them x is eliminated
3y=3
y=1
7(1)+5y=19
5y=19-7
y=12/5

Answer 2

It would be elimination (C) because 7x and -7x can be eliminated into 0.

  7x + 5y = 19
  -7x - 2y = -16
          3y = 3
           3     3
            y = 1
  7x + 5y = 19
7(1) + 5y = 19
    7 + 5y = 19
  - 7            - 7
          5y = 12
           5      5
           y = 2.4
    (x, y) = (1, 2.4)