Question

Help!!

a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply

Answer 1

`(b)\ 2x - 9 = -1`

`(c)\ -2x + 12 = 4`

`(e)\ 2(x - 10) = -12`

Explanation:

Required

Which equals
`x = 4`

`(a)\ 2x + 6 = 2`

Collect like terms

`2x = 2 - 6`

`2x = -4`

Divide both sides by 2

`x = -2`

`(b)\ 2x - 9 = -1`

Collect like terms

`2x = -1 + 9`

`2x = 8`

Divide both sides by 2

`x = 4`

`(c)\ -2x + 12 = 4`

Collect like terms

`-2x =- 12 + 4`

`-2x =-8`

Divide both sides by -2

`x = 4`

`(d)\ 2(x + 2) = 10`

Divide both sides by 2

`x + 2 =5`

Collect like terms

`x = 5-2`

`x = 3`

`(e)\ 2(x - 10) = -12`

Divide both sides by 2

`x - 10 = -6`

Collect like terms

`x = 10 - 6`

`x = 4`

Hence, the equations with the required solution are:

`(b)\ 2x - 9 = -1`

`(c)\ -2x + 12 = 4`

`(e)\ 2(x - 10) = -12`