Explain how system 1 becomes equivalent to system 2.
system 1:
ax + by = c
lx + my = n
system 2:
ax + by = c
(a − l)x + (b − m)y = c − n

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

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1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!