Question
O. "Seven less than a number, divided by 5, is -2 ."
Ask by Erickson Perkins. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
El número es **-3**.
Solution
**Problema:**
"Restar siete a un número y dividir el resultado por 5 es igual a -2."
**Planteamiento de la ecuación:**
\[
\frac{x - 7}{5} = -2
\]
**Resolución:**
1. **Multiplicar ambos lados de la ecuación por 5** para eliminar el denominador:
\[
x - 7 = -2 \times 5
\]
\[
x - 7 = -10
\]
2. **Sumar 7 a ambos lados** para aislar la variable \( x \):
\[
x - 7 + 7 = -10 + 7
\]
\[
x = -3
\]
**Respuesta:**
El número es **-3**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve the equation, let's represent the unknown number as \( x \). The statement translates into the equation: \( \frac{x - 7}{5} = -2 \). To clear the fraction, multiply both sides by 5, giving us \( x - 7 = -10 \). Finally, adding 7 to both sides leads to \( x = -3 \). So, the number you're looking for is -3! It's often helpful to double-check your solution by substituting back into the original condition. Plugging \( -3 \) back into the equation yields: \( \frac{-3 - 7}{5} = \frac{-10}{5} = -2 \). Checks out! Remember, balancing equations is key to mastering algebra.
