Question
b) \( 5 x+4=11 \)
Ask by Matthews Hills. in Australia
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = \frac{7}{5} \) or \( x = 1.4 \).
Solution
Sure, let's solve the equation step by step:
**Given Equation:**
\[ 5x + 4 = 11 \]
**Step 1: Subtract 4 from both sides**
\[
5x + 4 - 4 = 11 - 4
\]
\[
5x = 7
\]
**Step 2: Divide both sides by 5 to isolate \( x \)**
\[
\frac{5x}{5} = \frac{7}{5}
\]
\[
x = \frac{7}{5}
\]
**Final Answer:**
\[
x = \frac{7}{5} \quad \text{or} \quad x = 1.4
\]
So, the solution to the equation \( 5x + 4 = 11 \) is \( x = \frac{7}{5} \) or \( x = 1.4 \).
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
To solve the equation \( 5x + 4 = 11 \), start by isolating the variable \( x \). Subtract 4 from both sides to get \( 5x = 7 \). Then, divide both sides by 5 to find \( x = \frac{7}{5} \), or 1.4. Easy peasy! One common mistake here is forgetting to move the constant term over before dividing. Always remember to focus on isolating the variable step by step to avoid confusion!