Concept:Solve a system of two linear equations using the elimination method to find the values of x and y, then compute the required expression x - y.Explanation:Multiply equation (1): 4x+5y=34 by 3 to get 12x+15y=102.Multiply equation (2): 3x−2y=14 by 4 to get 12x−8y=56.Subtract the second new equation from the first: (12x+15y)−(12x−8y)=102−56.This simplifies to 23y=46, so y=2.Substitute y=2 into equation (2): 3x−2(2)=14 → 3x−4=14 → 3x=18 → x=6.Now, x−y=6−2=4.Answer:x−y=4 (Option A)