Question
1.) \( \begin{aligned} 8 x+9 & =49 \\ +9 & +9\end{aligned} \)
Ask by Burgess Pollard. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 5 \)
Solution
Let's solve the equation step by step.
1. Start with the original equation:
\[
8x + 9 = 49
\]
2. To isolate the term with \(x\), subtract 9 from both sides:
\[
8x + 9 - 9 = 49 - 9
\]
This simplifies to:
\[
8x = 40
\]
3. Now, divide both sides by 8 to solve for \(x\):
\[
x = \frac{40}{8}
\]
This simplifies to:
\[
x = 5
\]
Thus, the solution to the equation is:
\[
x = 5
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To solve for \( x \), we can first simplify the equation step by step. By adding 9 to both sides, we transform the equation into \( 8x + 18 = 49 \). Now, we can subtract 18 from both sides to isolate the term with \( x \), leading us to \( 8x = 31 \). Finally, dividing both sides by 8 gives us \( x = \frac{31}{8} \). Remember, when rearranging equations, balancing the scale is key! Always make sure to perform the same operation on both sides of the equation to maintain equality. A common mistake is forgetting to apply the same logic, which can lead to incorrect solutions.
