Question

Explain how System 1 becomes equivalent to System 2.

Answer 1

Answer:

In the procedure

Step-by-step explanation:

we have

System 1

Ax+By=C -----> equation A

Lx+My=N -----> equation B

step 1

Multiply equation B by -1 both sides

(-1)*(Lx+My=)N*(-1)

-Lx-My=-N ------> equation C

step 2

Adds equation A and equation C

Ax+By=C

-Lx-My=-N

----------------

Ax-Lx+By-My=C-N

(A-L)x+(B-M)y=C-N -----> equation D

step 3

An equivalent system (System 2) is formed with

Ax+By=C -----> equation A

(A-L)x+(B-M)y=C-N -----> equation D