Question

Which of the following have the correct solution? Check all

that apply.
0 2x + 5 = 19; x = 7
3 + x + 2 - x = 16; x = 3
X +2
= 2; x=8
5
0 6 = 2x – 8; x = 7
14 = x +5; x = 18

Answer 1

Explanation:

To do this, we will substitute the x values to their corresponding equations,

1)

`2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19`

Given 2x + 15 = 19

Calculated 2x + 15 = 19

Given = Calculated, this solution is correct.

2)

`3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5`

Given 3 + x + 2 - x = 16

Calculated 3 + x + 2 - x = 5

Given not equal to calculated, this solution is incorrect.

3)

`(x + 2)/(5) \\ = (8 + 2)/(5) \\ = (10)/(5) \\ = 2`

Given (x+2)/5 = 2

Calculated (x+2)/5 = 2

Given = Calculated, this solution is correct.

4)

`6 = 2x - 8 \\ 2x - 8 = 6`

`2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6`

Given 2x - 8 = 6

Calculated 2x - 8 = 6

Given = Calculated, this solution is correct.

5)

`14 = (1)/(3) x + 5 \\ (1)/(3) x + 5 = 14`

`(1)/(3) x + 5 \\ = (1)/(3)(18) + 5 \\ = (18)/(3) + 5 \\ = 6 + 5 \\ = 11`

Given 1/3x + 5 = 14

Calculated 1/3x + 5 = 11

Given not equal to Calculated, this solution is not correct.

Therefore the Correct solutions are 1,3 and 4.