Answer:
Kelly had incorrectly solved for
where she had multiplied by
instead of dividing by
to find for
.
Explanation:
How Kelly should have solved it:
![5x+9 = 24](https://img.qammunity.org/2021/formulas/mathematics/high-school/48yhr64lzer9yh7vxadx6kzthfq378tfu8.png)
![5x + 9-9= 24-9](https://img.qammunity.org/2021/formulas/mathematics/high-school/fkerd8x1whvjtkx7hrzwnsf2uqncp7cd6e.png)
![5x=15](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yf4950etr722rxz5cefxhzvh07k5n93lob.png)
(mistake occurred during this step in Kelly's work where she had multiplied by
)
![x=3](https://img.qammunity.org/2021/formulas/mathematics/college/yzekanmiuar9edsve93wg5dpqbw3650n5b.png)
Checking:
To check if
, we can use substitution:
![5x+9 = 5(3)+9](https://img.qammunity.org/2021/formulas/mathematics/high-school/i92jzm8l6vsod3pgu0d1vhb2ftyt5fjkpb.png)
![=15+9](https://img.qammunity.org/2021/formulas/mathematics/high-school/aa8bgqdpt5rfocosx264uy9kaycin82q7y.png)
![=24](https://img.qammunity.org/2021/formulas/mathematics/middle-school/evi2ym0lol3iflijmvn65ngpnjiwlr7iz3.png)
∴ The solution for
is correct.
Hope this helps :)