you know that x= 19 so you already know that the coordinate is going to be (19, y). You have to plug in 19 for x in the first equation so it will come out to be 19=5y-2(1-y) and then solve from then on:
19=5y-2+2y (Distribute the -2)
19=7y-2 (Combine Like-Terms)
21=7y (Add 2 to both sides)
y=3 (Divide both sides by 3)
So, your coordinates will be (19, 3)