Question

Which of the following have the correct solution? Check all

Answer 1

Step-by-step 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)

$\frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2$

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)

$14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14$

$\frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11$

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.