Question
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Tutor-Verified Answer
Answer
\( x = 1000 \)
Solution
För att lösa ekvationen \( \frac{3}{x} = 0{,}003 \) efter \( x \), gör vi följande steg:
\[
\frac{3}{x} = 0{,}003
\]
Vi multiplicerar båda sidor med \( x \) för att få bort nämnaren:
\[
3 = 0{,}003x
\]
Dela sedan båda sidor med \( 0{,}003 \) för att isolera \( x \):
\[
x = \frac{3}{0{,}003} = 1000
\]
**Lösning:** \( x = 1000 \)
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Simplify this solution Bonus Knowledge
To solve the equation \( \frac{3}{x} = 0,003 \), you can start by cross-multiplying to get rid of the fraction, leading to \( 3 = 0,003x \). Next, to isolate \( x \), divide both sides by \( 0,003 \). This gives you \( x = \frac{3}{0,003} \). Simplifying that, you find \( x = 1000 \). To check your work, you can substitute \( x = 1000 \) back into the original equation. Plugging it back in, \( \frac{3}{1000} = 0,003 \), which indeed confirms that you have the correct solution.
