Question
IX. \( 10 x+7=77 \)
Ask by Daniel Hammond. in Hong Kong
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 7 \)
Solution
Sure, let's solve the equation step by step:
**Given Equation:**
\[ 10x + 7 = 77 \]
**Step 1: Subtract 7 from both sides**
To isolate the term with \( x \), subtract 7 from both sides of the equation:
\[
10x + 7 - 7 = 77 - 7
\]
\[
10x = 70
\]
**Step 2: Divide both sides by 10**
Now, divide both sides by 10 to solve for \( x \):
\[
\frac{10x}{10} = \frac{70}{10}
\]
\[
x = 7
\]
**Solution:**
\[ x = 7 \]
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Simplify this solution Beyond the Answer
To solve the equation \( 10x + 7 = 77 \), start by isolating the term with \( x \). Subtract 7 from both sides to get \( 10x = 70 \). Then, divide both sides by 10 to find \( x = 7 \). Voilà! You've uncovered the mystery of \( x \). In the world of algebra, understanding how to isolate variables is a key skill! Whether balancing a budget or determining the size of ingredients for a recipe, equations like this pop up all the time. So next time you find \( x \) missing from a task, just remember this simple approach!
