Multiply the bottom equation through by 3
This gives the system
6x + 5y = 2
-6x + 21y = 102 add these
26y = 104 divide both sides by 26
y = 4
And
6x + 5(4) = 2
6x + 20 = 2 subtract 20 from both sides
6x = -18 divide both sides by 6
x = -3
So { x, y} = { -3, 4 }