3x+y=19 → y = 19 - 3x (1)
2x-6y=-59 (2)
Substituting (1) into (2), we have
2x - 6 [19 - 3x] = -59 simplify
2x - 114 + 18x = -59 add 114 to both sides
20x = 55 divide both sides by 20
x = 55/20 = 11/4
And using (1) y = 19 - 3(11/4) = [76 - 33] /4 = 43/4