Solve the system by the elimination method? -5x-2y=2 6x-2y=24

-5x-2y=2
6x-2y=24

Notice that -2y appears in both equations.  Multiply the first equation by -1, obtaining 

5x + 2y = -2               and then adding the second equation to this result:
6x  -2t   = 24

11x        = 22, so x = 2.  Now subst. 2 for x in either of the original equations to find the value of y.

6(2) - 2y = 2 becomes 2y = 12-2, or 2y = 10, or y = 5.

Solution is (2,5).  You MUST check this, however.

/-/////////looks tough ‍♂️