IdeasCuriosas - Every Question Deserves an Answer Logo

In Mathematics / Middle School | 2014-06-11

If \(9(x - 9) = -11\), then \(x = ?\)

A. \(-\frac{92}{9}\)

B. \(-\frac{20}{9}\)

C. \(-\frac{11}{9}\)

D. \(-\frac{2}{9}\)

E. \(\frac{70}{9}\)

Asked by PauletteLahmann

Answer (3)

[9(x - 9) = -11\ 9x-81=-11\ 9x=70\ x=\frac{70}{9}
]

Answered by konrad509 | 2024-06-10

To solve the equation 9(x − 9) = − 11, we first need to distribute the 9 on the left side of the equation:
9x - 81 = -11
Next, we add 81 to both sides of the equation to isolate the term with the variable x:
9x = 70
Finally, we divide both sides by 9 to solve for x:
x = 70 / 9
The final answer is x = 70/9, which corresponds to option E.

Answered by NikolinaDobreva | 2024-06-24

The solution to the equation 9 ( x − 9 ) = − 11 is found by distributing, isolating x , and simplifying, leading to x = 9 70 ​ . Thus, option E is the correct choice.
;

Answered by NikolinaDobreva | 2024-12-23