Pregunta
Solve the following proportion: \[ \frac{-4 m-3}{-2}=\frac{-5}{3} \]
Ask by Reese Lindsey. in the United States
Jan 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( m = -\frac{19}{12} \)
Solución
To solve the proportion:
\[
\frac{-4m - 3}{-2} = \frac{-5}{3}
\]
**Step 1: Cross-Multiply**
Multiply the numerator of one fraction by the denominator of the other and set them equal:
\[
(-4m - 3) \times 3 = (-5) \times (-2)
\]
**Step 2: Distribute and Simplify**
\[
-12m - 9 = 10
\]
**Step 3: Solve for \( m \)**
1. Add 9 to both sides:
\[
-12m = 19
\]
2. Divide both sides by -12:
\[
m = \frac{19}{-12} = -\frac{19}{12}
\]
**Final Answer:**
\[
m = -\frac{19}{12}
\]
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Simplifique esta solución Mind Expander
To solve the proportion \[ \frac{-4 m - 3}{-2} = \frac{-5}{3}, \] we can start by cross-multiplying: \[ (-4m - 3) \cdot 3 = (-5) \cdot (-2). \] This simplifies to: \[ -12m - 9 = 10. \] Next, we can isolate the term with \(m\) by adding 9 to both sides: \[ -12m = 10 + 9, \] which simplifies to: \[ -12m = 19. \] Now, divide both sides by -12: \[ m = \frac{19}{-12} = -\frac{19}{12}. \] Thus, the solution to the proportion is \[ m = -\frac{19}{12}. \]
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