Question

which set of steps shows the solution to the equation 2y = −8? y = −8 − 2; y = 6 y = −8 ÷ (−2); y = 4 y = −8 ÷ 2; y = −4 y = −8 − (−2); y = −6

Answer 1

Answer:  The correct option is

(C) y = −8 ÷ 2; y = −4.

Step-by-step explanation:  We are given to select the correct steps that shows the solution to the following equation :

$2y=-8~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

the solution to the equation $ax=b,~~\textup{a,b are real numbers}$ is given by

$ax=b\\\\\Rightarrow x=b\div a.$

Therefore, the solution of equation (i) is as follows :

$2y=-8\\\\\Rightarrow y=-8\div 2\\\\\Rightarrow y=\dfrac{-8}{2}\\\\\Rightarrow y=-4.$

Thus, (C) is the correct option.