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

Let's use the substitution method.

From the first equation, we can solve for x in terms of y:

x = 7 - 2y

Now we can substitute this expression for x into the second equation:

3(7 - 2y) - y = 7
21 - 6y - y = 7
21 - 7y = 7
-7y = -14
y = 2

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 + 2(2) = 7
x + 4 = 7
x = 3

Therefore, the solution to the system of equations is x = 3 and y = 2.