Question
Homework: 1. \( x+11=19 \)
Ask by Munoz Boyd. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 8 \)
Solution
Sure, let's solve the equation step by step.
**Given Equation:**
\[ x + 11 = 19 \]
**Step 1: Subtract 11 from both sides of the equation to isolate \( x \).**
\[
\begin{align*}
x + 11 &= 19 \\
x + 11 - 11 &= 19 - 11 \\
x &= 8
\end{align*}
\]
**Solution:**
\[ x = 8 \]
**Verification:**
To ensure that the solution is correct, plug \( x = 8 \) back into the original equation:
\[
\begin{align*}
8 + 11 &= 19 \\
19 &= 19
\end{align*}
\]
Since both sides of the equation are equal, the solution \( x = 8 \) is correct.
Reviewed and approved by the UpStudy tutoring team
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Bonus Knowledge
To solve for \( x \), you simply subtract 11 from both sides of the equation. This gives you \( x = 19 - 11 \), which simplifies to \( x = 8 \). Remember, the goal is to isolate the variable on one side of the equation! Always double-check your work by plugging your solution back into the original equation. If you substitute \( x \) with 8 in \( x + 11 = 19 \), you'll see that \( 8 + 11 = 19 \) is indeed correct, ensuring you’ve nailed it!