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c. \( \frac{-3}{8} m=-15 \) d. \( \frac{33}{4}=\frac{12 y}{4}-\frac{6}{8} \)

Ask by Valdez Hodges. in Colombia
Mar 08,2025

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**Para la ecuación c:** \[ \frac{-3}{8} m = -15 \] Multiplicamos ambos lados por \(\frac{-8}{3}\): \[ m = 40 \] **Para la ecuación d:** \[ \frac{33}{4} = \frac{12y}{4} - \frac{6}{8} \] Simplificamos: \[ \frac{33}{4} = 3y - \frac{3}{4} \] Sumamos \(\frac{3}{4}\) a ambos lados: \[ 9 = 3y \] Despejamos \(y\): \[ y = 3 \]

Solution

**Para la ecuación c:** Dada la ecuación \[ \frac{-3}{8} m = -15, \] multiplicamos ambos lados por el inverso de \(\frac{-3}{8}\), que es \(\frac{-8}{3}\): \[ m = -15 \times \frac{-8}{3}. \] Se simplifica el producto (al multiplicar dos negativos se obtiene positivo): \[ m = 15 \times \frac{8}{3} = \frac{15 \times 8}{3} = \frac{120}{3} = 40. \] Por lo tanto, \[ m = 40. \] --- **Para la ecuación d:** Dada la ecuación \[ \frac{33}{4} = \frac{12y}{4} - \frac{6}{8}, \] primero simplificamos los términos: Nota que \[ \frac{12y}{4} = 3y, \] y \[ \frac{6}{8} = \frac{3}{4}. \] Por lo tanto, la ecuación se transforma en \[ \frac{33}{4} = 3y - \frac{3}{4}. \] Para eliminar el término \(-\frac{3}{4}\) del lado derecho, sumamos \(\frac{3}{4}\) a ambos lados: \[ \frac{33}{4} + \frac{3}{4} = 3y. \] Se suman los numeradores: \[ \frac{33 + 3}{4} = \frac{36}{4} = 9. \] Así obtenemos: \[ 9 = 3y. \] Dividimos ambos lados por 3 para despejar \(y\): \[ y = \frac{9}{3} = 3. \] Por lo tanto, \[ y = 3. \]

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To solve \( \frac{-3}{8} m = -15 \), you can start by isolating \( m \). Multiply both sides by \( -\frac{8}{3} \), which gives you \( m = -15 \times -\frac{8}{3} = 40 \). Voila! You found that \( m = 40 \). For the equation \( \frac{33}{4} = \frac{12y}{4} - \frac{6}{8} \), first simplify \( -\frac{6}{8} \) to \( -\frac{3}{4} \). Now you have \( \frac{33}{4} = 3y - \frac{3}{4} \). Next, add \( \frac{3}{4} \) to both sides, leading to \( \frac{33}{4} + \frac{3}{4} = 3y \), which simplifies to \( \frac{36}{4} = 3y \) or \( 9 = 3y \). Dividing both sides by 3, you find \( y = 3 \)!

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