Question
X. \( 11 x-8=63 \)
Ask by Hampton Hardy. in China
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = \frac{71}{11} \) or approximately \( x \approx 6.45 \).
Solution
To solve the equation:
\[
11x - 8 = 63
\]
**Step 1:** Add 8 to both sides to isolate the term with \( x \).
\[
11x - 8 + 8 = 63 + 8
\]
\[
11x = 71
\]
**Step 2:** Divide both sides by 11 to solve for \( x \).
\[
x = \frac{71}{11}
\]
**Simplifying the fraction:**
\[
x = 6 \frac{5}{11} \quad \text{or approximately} \quad x \approx 6.45
\]
**Final Answer:**
\[
x = \frac{71}{11} \approx 6.45
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve the equation \( 11x - 8 = 63 \), start by isolating the term with \( x \). Add 8 to both sides of the equation to get \( 11x = 71 \). Then, divide both sides by 11 to find \( x = \frac{71}{11} \), which approximately equals 6.45. This kind of linear equation is common in everyday situations, like budgeting or calculating distances. For example, if you're planning a road trip and need to figure out how much money you'll need for gas while accounting for extra expenses, you'll often set up a similar equation to find your total costs efficiently!
