We can multiply the first equation by -1 then add it to the 2nd equation:
7x - 6y = -16
-7x + 6y = 16
-7x + 6y = 16
8x - 6y = -20
x + 0 = -20
x = -4
So our x-value is -20, we can plug this into any of the two equations to get the y-value:
8x - 6y = -20
8(-4) - 6y = -20
-32 - 6y = -20
Add 32 to both sides:
-6y = 12
y = -2
So our final answer is (-4, -2).