Question
\( \leftarrow \quad \begin{array}{l}\text { Determine whether }-6 \text { is a solution of the equation } \\ 3 x=15\end{array} \)
Ask by Weaver Harrington. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( -6 \) is not a solution of the equation \( 3x = 15 \).
Solution
To determine whether \( -6 \) is a solution to the equation \( 3x = 15 \), follow these steps:
1. **Substitute \( x = -6 \) into the equation:**
\[
3(-6) = 15
\]
2. **Calculate the left side:**
\[
-18 = 15
\]
3. **Compare both sides:**
\[
-18 \neq 15
\]
Since substituting \( -6 \) into the equation does not satisfy \( 3x = 15 \), \( -6 \) is **not** a solution to the equation.
**Conclusion:** \( -6 \) is not a solution of the equation \( 3x = 15 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To determine if \(-6\) is a solution of the equation \(3x = 15\), you'll want to substitute \(-6\) for \(x\). So, plug it in: \(3(-6) = -18\). Since \(-18\) is not equal to \(15\), \(-6\) is not a solution! Now let’s consider what this equation means. The equation \(3x = 15\) essentially tells you that if you multiply \(x\) by \(3\), you should get \(15\). To find the correct value for \(x\), you can divide both sides by \(3\), leading you to \(x = 5\), which is the actual solution!
