It is known that the solution of the system of linear equations {2x-y = k, x-2y = 11-2k} with respect to X and Y satisfies X-Y = 2, and the value of K is obtained

It is known that the solution of the system of linear equations {2x-y = k, x-2y = 11-2k} with respect to X and Y satisfies X-Y = 2, and the value of K is obtained

2x-y=k,x-2y=11-2k
Add
3x-3y=11-k
x-y=2
So 3x-3y = 6
So 11-k = 6
k=5