Respuesta :

Answer:

The answer is x = 3

Step-by-step explanation:

5x + 9 = 24

5x +9 -9 = 24 - 9

5x = 15

x = 15/5 = 3

Therefore, x = 3

Kelly multiplied 5 to each side when she solved for x, which is incorrect.

Answer:

Kelly had incorrectly solved for [tex]x[/tex] where she had multiplied by [tex]5[/tex] instead of dividing by [tex]5[/tex] to find for [tex]x[/tex].

Step-by-step explanation:

How Kelly should have solved it:

[tex]5x+9 = 24[/tex]

[tex]5x + 9-9= 24-9[/tex]

[tex]5x=15[/tex]

[tex]5x\div 5=15\div 5[/tex] (mistake occurred during this step in Kelly's work where she had multiplied by [tex]5[/tex])

[tex]x=3[/tex]

Checking:

To check if [tex]x=3[/tex], we can use substitution:

[tex]5x+9 = 5(3)+9[/tex]

[tex]=15+9[/tex]

[tex]=24[/tex]

∴ The solution for [tex]x[/tex] is correct.

Hope this helps :)

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