Verify that (-4, 12) is the solution to the system. show work to justify your answer.

Focus on the first equation. The ordered pair (-4,12) means that x = -4 and y = 12. Keep in mind that x always comes first. Think alphabetical order.

What we do is simply replace every x with -4 and replace every y with 12. Let's see what happens

2x+y = 5
2*x+y = 5
2*(-4) + 12 = 5
-8 + 12 = 5
4 = 5

The last equation, 4 = 5, is FALSE. So because we have a false equation, it means that 2x+y = 5 is also false when (x,y) = (-4,12)

There is no way that (-4,12) is the solution to this system. It fails to satisfy the first equation.