Question
X. \( 11 x-8=63 \)
Ask by Brooks Kirk. in China
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = \frac{71}{11} \) or \( x = 6 \frac{5}{11} \)
Solution
To solve the equation \( 11x - 8 = 63 \) for \( x \), follow these steps:
1. **Add 8 to both sides** of the equation to isolate the term with \( x \):
\[
11x - 8 + 8 = 63 + 8
\]
Simplifying both sides:
\[
11x = 71
\]
2. **Divide both sides by 11** to solve for \( x \):
\[
\frac{11x}{11} = \frac{71}{11}
\]
Simplifying:
\[
x = \frac{71}{11}
\]
3. **Simplify the fraction** if desired:
\[
x = 6 \frac{5}{11}
\]
**Final Answer:**
\[
x = \frac{71}{11} \quad \text{or} \quad x = 6 \frac{5}{11}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve the equation \( 11x - 8 = 63 \), first you want to isolate \( x \). Start by adding 8 to both sides to get \( 11x = 71 \). Then, divide both sides by 11, so \( x \approx 6.45 \). Remember, it’s always a good idea to double-check your answer by substituting it back into the original equation! This type of linear equation appears frequently in everyday situations, like budgeting or calculating distances. For example, if you're trying to find out how far you can travel based on a set amount of gas, a similar setup might help you figure that out! Understanding how to manipulate these equations can help immensely in practical scenarios.
