Given that the sum of solutions X and y of the system of equations 2x-3y = k, x-4y = 6 (k is a constant) is nonnegative, the value range of K is obtained

Given that the sum of solutions X and y of the system of equations 2x-3y = k, x-4y = 6 (k is a constant) is nonnegative, the value range of K is obtained

Subtracting x + y = k - 6 ≥ 0
k ≥ 6