If a+x=b+y=c+z+1 , where a,b,c,x3,y,z are non-zero distinct real numbers, then xa+yx+ayb+yy+bzc+yz+c is equal to

xa+yx+ayb+yy+bzc+yz+c=xa+yayb+ybzc+ycc3→c3-c1=xyayybzycC2→C2-C3=x+ayay+bybz+cycC1→C1+C3=y+byay+byby+b-1yc(∵ data )=00a-b10b-cy+b-1yc=(a-b)y