Step-by-step explanation:
To do this, we will substitute the x values to their corresponding equations,
1)
[tex]2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19[/tex]
Given 2x + 15 = 19
Calculated 2x + 15 = 19
Given = Calculated, this solution is correct.
2)
[tex]3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5[/tex]
Given 3 + x + 2 - x = 16
Calculated 3 + x + 2 - x = 5
Given not equal to calculated, this solution is incorrect.
3)
[tex] \frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2[/tex]
Given (x+2)/5 = 2
Calculated (x+2)/5 = 2
Given = Calculated, this solution is correct.
4)
[tex]6 = 2x - 8 \\ 2x - 8 = 6[/tex]
[tex]2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6[/tex]
Given 2x - 8 = 6
Calculated 2x - 8 = 6
Given = Calculated, this solution is correct.
5)
[tex]14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14[/tex]
[tex] \frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11[/tex]
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.
