Barry M. answered 01/08/20
Professor, CalTech Grad; Many Years Tutoring Math, SAT/ACT Prep, Chem
From eq #1, x = y + 8
Plug into eq #2, giving y = 2(y + 8) - 12, and therefore y = 2y + 4, so y = -4.
Plug back into eq #1, x = -4 + 8 = 4
You can also verify by plugging the values of x and y into the original equations.