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

2x+y=5 and -5x-2y=-6

Multiply the 1st equation by 2 and you have:

4x+2y=10 now add this to the second equation which cancels out y...you are left with:

-x=4, divide both sides by -1 so that x=-4 

Now use either original equation to find y using the value of x that we just found...2x+y=5 becomes:

-8+y=5  add 8 to both sides

y=13

So the solution is (-4,13) and NOT (-4,12)