Question
2etermine whether -6 is a solution of the equation \( \begin{array}{l}\text { Dx }=-30\end{array} \) \( \begin{array}{l}\text { Is }-6 \text { a solution? } \\ \text { Yes } \\ \text { No }\end{array} \)
Ask by Riley Norris. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
-6 is a solution.
Solution
We start with the equation
5x = –30
and want to know if x = –6 is a solution. (Sometimes the number 5 can look like the letter “D” in some handwriting, so we interpret the equation as 5x = –30.)
Step 1. Substitute –6 for x:
5(–6) = –30
Step 2. Simplify the left side:
–30 = –30
The simplified expression is a true statement, so –6 is indeed a solution.
Answer: Yes, –6 is a solution.
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Simplify this solution Bonus Knowledge
To determine if -6 is a solution of the equation \( Dx = -30 \), we can substitute -6 for \( x \): \( D(-6) = -30 \). If \( D \) is a constant that satisfies the equation when multiplied by -6 to yield -30, then -6 is a solution. If we rearrange the equation to find \( D \), we get \( D = \frac{-30}{-6} = 5 \). So if \( D = 5 \), then indeed -6 is a solution. Otherwise, it's not. Therefore, if we're looking specifically at the equation, the answer is **yes**, -6 is a solution when \( D = 5 \). In conclusion, yes, -6 can be a solution; it just depends on the value of \( D \).
