Question

How can we get Equation B from Equation A? A. 5 = -2 (x - 1) B. 5 = -2x + 2 How can we get Equation B from Equation A?

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Determining equation B from Equation A

Given the equation A

$5\:=\:-2\:\left(x\:-\:1\right)$

Apply distributive law $a\left(b-c\right)=ab-ac$

$5= -2x+2$    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

$5 = -2x + 2$

Factor out common term -2 on the right-hand side of the equation

$5=-2\left(x-1\right)$  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.