Answer:
Please check the explanation.
Step-by-step explanation:
Determining equation B from Equation A
Given the equation A
[tex]5\:=\:-2\:\left(x\:-\:1\right)[/tex]
Apply distributive law [tex]a\left(b-c\right)=ab-ac[/tex]
[tex]5= -2x+2[/tex] which is equation B
Hence, equation B can be obtained by implementing the distributive law operation on equation A.
Determining equation A from Equation B
Given the equation B
[tex]5 = -2x + 2[/tex]
Factor out common term -2 on the right-hand side of the equation
[tex]5=-2\left(x-1\right)[/tex] which is the equation A
Hence, equation A can be obtained by factoring out the common term -2 on the right-hand side of equation B.
