2X + 3Y = k the sum of solutions X and y of the system of linear equations {3x-4y = K + 11} with respect to X and Y is known to be equal to 3, and the value of K is obtained The method is as simple as possible

2X + 3Y = k the sum of solutions X and y of the system of linear equations {3x-4y = K + 11} with respect to X and Y is known to be equal to 3, and the value of K is obtained The method is as simple as possible

2x+3y=k (1)
3x-4y=k+11 (2)
(2)-(1)
x-7y=11 (3)
x+y=3 (4)
(3)-(4)
-8y=8
y=-1
x=4
Substituting (1)
2* 4+3*-1=k=5