To solve this system of equations, we can use the method of substitution.

From the first equation, we can solve for x in terms of y:
x = 1 - 3y

Now we can substitute this expression for x into the second equation:
-(1 - 3y) + y = -5
-1 + 3y + y = -5
4y - 1 = -5
4y = -4
y = -1

Now that we have found the value of y, we can substitute it back into the first equation to find the value of x:
x = 1 - 3(-1)
x = 1 + 3
x = 4

Therefore, the solution to the system of equations is x = 4, y = -1.