Question
Solve the following equation for \( x \). \[ a x-3=18 \] A \( x=21-a \) B \( \quad x=\sqrt[21]{4} \) C \( x=\frac{a}{21} \) D \( x=\frac{15}{a} \) Progress leaning 2025, A1 Rights Resenved. Tems Ptivacy PHONE 1-87/-371-9537 FAX1-9ा/-8160013 Blog
Ask by Mccarthy Dickson. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct solution is \( x = \frac{21}{a} \), but none of the given options match this answer.
Solution
We start with the given equation:
\[
a x - 3 = 18
\]
**Step 1.** Add \(3\) to both sides of the equation:
\[
a x - 3 + 3 = 18 + 3 \quad \Longrightarrow \quad a x = 21
\]
**Step 2.** Divide both sides by \(a\) (assuming \(a \neq 0\)) to solve for \(x\):
\[
x = \frac{21}{a}
\]
None of the provided answer choices match the result \(x=\frac{21}{a}\).
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Simplify this solution Bonus Knowledge
To solve the equation \( a x - 3 = 18 \), first, add 3 to both sides to get \( a x = 21 \). Next, divide both sides by \( a \) to isolate \( x \), which gives us \( x = \frac{21}{a} \). Looks like none of the options correctly represent this solution; however, the closest choice to our result is option D, which is \( x = \frac{15}{a} \) - but that’s not quite right! Keep practicing those algebra skills; you’re almost there! Do remember that checking your answers is crucial! Misreading or skipping the simplification steps can lead to wrong answers. Always take a moment to verify if your calculated result fits the original equation before concluding. Happy solving!
