Question
VIII. \( 9 x-5=50 \) IX. \( 10 x+7=77 \) X. \( 11 x-8=63 \)
Ask by Brewer Moran. in Hong Kong
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solutions are:
- VIII. \( x = \frac{55}{9} \)
- IX. \( x = 7 \)
- X. \( x = \frac{71}{11} \)
Solution
Let's solve each equation step by step.
VIII. Solve 9x – 5 = 50
1. Add 5 to both sides:
9x – 5 + 5 = 50 + 5
9x = 55
2. Divide both sides by 9:
x = 55/9
IX. Solve 10x + 7 = 77
1. Subtract 7 from both sides:
10x + 7 – 7 = 77 – 7
10x = 70
2. Divide both sides by 10:
x = 70/10 = 7
X. Solve 11x – 8 = 63
1. Add 8 to both sides:
11x – 8 + 8 = 63 + 8
11x = 71
2. Divide both sides by 11:
x = 71/11
Thus, the solutions are:
VIII. x = 55/9
IX. x = 7
X. x = 71/11
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
Let's break these equations down! To solve the first equation \( 9x - 5 = 50 \), add 5 to both sides to get \( 9x = 55 \), then divide by 9 to find \( x = \frac{55}{9} \) or approximately 6.11. For the second equation \( 10x + 7 = 77 \), subtract 7 from both sides, resulting in \( 10x = 70 \). Dividing by 10 gives \( x = 7 \). Now for the third equation \( 11x - 8 = 63 \). Adding 8 to both sides yields \( 11x = 71 \), and dividing by 11 gives \( x = \frac{71}{11} \) or approximately 6.45. Perfect for your homework or just sharpening your math skills!
