First let's get rid of the x by multiplying the tip equation by -2
-2 (-6x - 2y = -4)
+
(-12x - 5y = -13)
Distribute
(12x + 4y = 8)
+
(-12x - 5y = -13)
x cancels out and you're left with
-1y = -5
y = 5
Now solving for x, plug in your y into one of the equations
-6x - 2(5) = -4
-6x - 10 = -4
-6x = 6
x = -1
(-1 , 5) is the solution