For each ordered pair, determine whether it is a solution to 4x-7y=19

Plug in the values for the point. If you get a result of 19, the pair is a solution.
For example: plug in (0,-2.71). (x,y)= (0,-2.71) This is a strange point to use, but you didn't provide me with the possible answers and I had to estimate it with a graphing calculator.

4(0)-7(-2.1)=0+18.97, which you can round to 19, so this point would be a solution because it makes the statement true.

On the other hand, the pair is NOT a solution if it makes the statement untrue.
Say you have the point (0,0) for the sake of simplicity. When you plug this in, you get
4(0)-7(0)= 19. When you distribute, you wind up with 0=19, which is not true. Therefore the point (0,0 is not a solution.

In summary, plug in the point and see if it makes the statement true. If it does, the point is a solution.