Question
\( \begin{array}{l} \frac{q}{13}+14=15 \\ \frac{q}{13}=1 \\ q=\square \\ \text { Multiply both sides by } 13\end{array} \)
Ask by Knight Alexander. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( q = 13 \)
Solution
Let's solve the equation step by step to find the value of \( q \).
Given:
\[
\frac{q}{13} + 14 = 15
\]
**Step 1:** Subtract 14 from both sides to isolate the term with \( q \).
\[
\frac{q}{13} = 15 - 14
\]
\[
\frac{q}{13} = 1
\]
**Step 2:** Multiply both sides by 13 to solve for \( q \).
\[
q = 1 \times 13
\]
\[
q = 13
\]
**Solution:**
\[
q = 13
\]
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Simplify this solution Mind Expander
To solve for \( q \), we first isolate \( \frac{q}{13} \) by subtracting 14 from both sides of the equation: \[ \frac{q}{13} = 15 - 14 \quad \Rightarrow \quad \frac{q}{13} = 1 \] Next, to eliminate the fraction, we multiply both sides by 13: \[ q = 1 \times 13 \] This simplifies to: \[ q = 13 \] Thus, the solution is \( q = 13 \). Wouldn't it be fun to explore how linear equations like this pop up in everyday situations, like calculating budgets or even mixing paint?
