Explain how system 1 becomes equivalent to system 2. (1 point) system 1: ax by = c lx my = n system 2: ax by = c (a − l)x (b − m)y = c − n the first equation in system 1 is the sum of the equations in system 2. the second equation in system 2 is the first equation in system 2. the first equation in system 1 is the difference of the equations in system 2. the second equation in system 1 is the first equation in system 2. the second equation in system 2 is the sum of the equations in system 1. the first equation in system 2 is the first equation in system 1. the second equation in system 2 is the difference of the equations in system 1. the first equation in system 2 is the first equation in system 1.



Answer :

Equivalent expressions are expressions that have the same value.

The correct statement is: (a) The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.

The systems of equations are:

System 1

Ax + By = C

Lx + My = N

When we add the System (1), we get:

            Ax + By = C

            Lx + My = N

       _______________-

      (Ax + Lx) + (By +My) = C + N

By distributive property and factor out x and y, we get:

⇒  (A + L)x + (B + M) y = C + N

The above equation is the first equation of system 2.

While Ax +By = C  is the second equation of the system

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