Question
IX. \( 10 x+7=77 \)
Ask by Mullins Williams. in the United States
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=7 \)
Solution
Solve the equation \( 10x+7=77 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(10x+7=77\)
- step1: Move the constant to the right side:
\(10x=77-7\)
- step2: Subtract the numbers:
\(10x=70\)
- step3: Divide both sides:
\(\frac{10x}{10}=\frac{70}{10}\)
- step4: Divide the numbers:
\(x=7\)
The solution to the equation \(10x+7=77\) is \(x=7\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To solve the equation \( 10x + 7 = 77 \), you want to isolate \( x \). Start by subtracting 7 from both sides to get \( 10x = 70 \). Then, divide both sides by 10, leading to \( x = 7 \). Voilà! You’ve found that \( x \) equals 7! Now, how about checking your work? Substitute \( x = 7 \) back into the original equation: \( 10(7) + 7 \) should equal 77. And indeed, \( 70 + 7 = 77 \), confirming you nailed it! Keep practicing to sharpen your skills!