The system Px +Qy =R; Fx + Gy = H has solution(3,-1), where F, G,H, P,Q, and R are nonzero real numbers. Select all the systems that are also guaranteed to have the solution (3,-1). (Select all that applies)

A. (P+F)x+(Q+G)y= R+H and Fx+Gy=H

B. (P+F)x+Qy= R+H and Fx+(G+Q)y=H

C. Px+Qy=R and (3P+F)x+(3Q+G)y=3H+R

D. Px+Qy=R and (F-2P)x+(G-2Q)y=H-2R

E. Px+Qy+R and 5Fx+ 5Gy