Questions: Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. x/7 = 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is 3. (Type an integer or a simplified fraction.) B. The solution set is x x is a real number . C. The solution set is ∅

Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. x/7 = 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is 3. (Type an integer or a simplified fraction.) B. The solution set is x x is a real number . C. The solution set is ∅
Transcript text: Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \[ \frac{x}{7}=7 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ 3. (Type an integer or a simplified fraction.) B. The solution set is $\{x \mid x$ is a real number $\}$. C. The solution set is $\varnothing$
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Solution

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Paso 1: Aislar la variable

Comenzamos con la ecuación original: \[ \frac{x}{7} = 7 \] Multiplicamos ambos lados de la ecuación por 7 para aislar \(x\): \[ x = 7 \cdot 7 \]

Paso 2: Calcular el valor de \(x\)

Calculamos el valor de \(x\): \[ x = 49 \]

Paso 3: Verificar la solución

Sustituimos \(x\) en la ecuación original para verificar: \[ \frac{49}{7} = 7 \] Esto es correcto, ya que \(7 = 7\).

Respuesta Final

La solución es \\(\boxed{x = 49}\\).

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