Question

Solve for y, then find the value of y for each value of x.

Answer 1

`\huge\sf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}`

• When x = 0

`:\implies\tt{2y + 0 = 8} \\ \\ :\implies\tt{2y = 8} \\ \\ :\implies\tt{y = (8)/(2) } \\ \\ :\implies\tt{y = 4}`

• When x = -2

`:\implies\tt{2y + 4( - 2) = 8} \\ \\ :\implies\tt{2y - 8 = 8} \\ \\ :\implies\tt{2y = 8 + 8} \\ \\ :\implies\tt{2y = 16} \\ \\ :\implies\tt{y = (16)/(2) } \\ \\ :\implies\tt{y = 8}`

• When x = -1

`:\implies\tt{2y + 4( - 1) = 8} \\ \\ :\implies\tt{2y - 4 = 8} \\ \\ :\implies\tt{2y = 8 + 4} \\ \\ :\implies\tt{2y = 12} \\ \\ :\implies\tt{y = (12)/(2) } \\ \\ :\implies\tt{y = 6}`

Answer 2

4,8,6

Explanation:

replace x with 0

`2y+4(0)=8`

multiply 4 and 0

`2y+0=8`

`2y=8`

divide each term by 2

`(2y)/(2) =(8)/(2\\)`

simplify

`y=4`

repeat with -2 and -1

`2y+4(-2)=8`

`2y-8=8`

`2y=8+8`

`2y=16`

`(2y)/(2)=(16)/(2)`

`y=8`

`2y+4(-1)=8`

`2y-4=8`

`2y=8+4`

`2y=12`

`(2y)/(2) = (12)/(2)`

`y=6`