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\( x = -12 \)
Solución
To solve the equation:
\[
-\frac{6}{8} = \frac{9}{x}
\]
**Step 1: Simplify the Fraction**
First, simplify \(-\frac{6}{8}\):
\[
-\frac{6}{8} = -\frac{3}{4}
\]
So the equation becomes:
\[
-\frac{3}{4} = \frac{9}{x}
\]
**Step 2: Cross-Multiply to Solve for \(x\)**
Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and setting them equal:
\[
-3x = 4 \times 9
\]
\[
-3x = 36
\]
**Step 3: Isolate \(x\)**
Divide both sides of the equation by \(-3\):
\[
x = \frac{36}{-3}
\]
\[
x = -12
\]
**Answer:** \( x = -12 \)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Extra Insights
To solve for \( x \), you can cross-multiply to get \( -6x = 72 \). Then, divide both sides by -6 to find \( x = -12 \). So, the solution showcases how using ratios can help solve equations by simplifying the process of finding unknown values! In real life, understanding ratios can come in handy, especially when cooking or mixing chemicals! For example, if a recipe calls for a specific ratio of ingredients and you want to double it, knowing how to manipulate these fractions can turn a potential kitchen disaster into a delicious success—or help you safely create a perfect potion in your chemistry lab!
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