#### Answer

The solution is x = 6 and y = 4.

#### Work Step by Step

Note: The top equation is equation 1 and the bottom equation is equation 2.
Solve for y in the first equation:
x - y = 2
x = 2 + y
x - 2 = y
Plug that y value into the second equation:
6x - 5(x - 2) = 16
6x - 5x + 10 = 16
x + 10 = 16
x = 6
Use the x value and the equation above to solve for y:
y = 6 - 2
y = 4
The solution is x = 6 and y = 4.