Explain how System 1 becomes equivalent to System 2.System 1:Ax + By = CLx + My = NSystem 2:Ax + By = C(A − L)x + (B − M)y = C − N
Accepted Solution
A:
Answer:In the procedureStep-by-step explanation:we haveSystem 1Ax+By=C -----> equation ALx+My=N -----> equation Bstep 1Multiply equation B by -1 both sides(-1)*(Lx+My=)N*(-1)-Lx-My=-N ------> equation Cstep 2Adds equation A and equation CAx+By=C -Lx-My=-N----------------Ax-Lx+By-My=C-N(A-L)x+(B-M)y=C-N -----> equation Dstep 3An equivalent system (System 2) is formed with Ax+By=C -----> equation A(A-L)x+(B-M)y=C-N -----> equation D