Question
6) \( 17-q=6 \)
Ask by Lambert Patel. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( q = 11 \)
Solution
Sure, let's solve the equation step by step.
**Given Equation:**
\[ 17 - q = 6 \]
**Step 1: Subtract 17 from both sides to isolate the variable term.**
\[
17 - q - 17 = 6 - 17
\]
\[
- q = -11
\]
**Step 2: Multiply both sides by -1 to solve for \( q \).**
\[
-1 \times (-q) = -1 \times (-11)
\]
\[
q = 11
\]
**Solution:**
\[ q = 11 \]
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The Deep Dive
To solve the equation \( 17-q=6 \), start by isolating \( q \). Subtract 17 from both sides to get \( -q = 6 - 17 \), which simplifies to \( -q = -11 \). Now, multiply both sides by -1, giving you \( q = 11 \). So, the solution is \( q = 11 \)! Finding values like this might seem straightforward, but it can be a great way to practice algebraic manipulation essential for various fields, including engineering, computer science, and economics. Equations like these are the building blocks for more complex problems you'll encounter later!