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/ a.`

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

`2y=-8\\\\\Rightarrow y=-8/ 2\\\\\Rightarrow y=(-8)/(2)\\\\\Rightarrow y=-4.`

Thus, (C) is the correct option.