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c) \( \frac{56}{\square}=\frac{-7}{8} \)

Ask by Gonzalez Reid. in Colombia
Feb 20,2025

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Answer

La solución es \( \square = -64 \).

Solution

Para resolver la ecuación \( \frac{56}{\square}=\frac{-7}{8} \), seguimos estos pasos: 1. **Identificar la incógnita**: La incógnita es el símbolo \( \square \). 2. **Multiplicar en cruz**: Para despejar \( \square \), multiplicamos en cruz: \[ 56 \cdot 8 = -7 \cdot \square \] 3. **Calcular el lado izquierdo**: \[ 56 \cdot 8 = 448 \] Entonces, la ecuación se convierte en: \[ 448 = -7 \cdot \square \] 4. **Despejar \( \square \)**: Dividimos ambos lados de la ecuación por -7: \[ \square = \frac{448}{-7} \] 5. **Calcular el valor de \( \square \)**: \[ \square = -64 \] Por lo tanto, la solución es: \[ \square = -64 \]

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To solve for the square, you can use cross-multiplication. Multiply both sides by the square to isolate it: \( 56 \times 8 = -7 \times \text{square} \). This gives you \( 448 = -7 \times \text{square} \). Now, divide both sides by -7 to find the square: \( \text{square} = \frac{448}{-7} \), which simplifies to \( -64 \). Thus, \( \frac{56}{-64} = \frac{-7}{8} \) is indeed a true statement! Now, you can check your answer by substituting \( -64 \) back into the original equation. If you have \( \frac{56}{-64} \), simplifying this fraction by dividing both the numerator and the denominator by 8 gives \( \frac{7}{-8} \) or simply \( \frac{-7}{8} \). Bingo! You’ve verified that your solution is correct!

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