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Seleccione la respuesta correcta.

Crear y resolver una ecuación lineal que represente el modelo, donde se muestran círculos y un cuadrado uniformemente equilibrados en una viga de equilibrio.

A. [tex]x+5=7 ; x=2[/tex]

B. [tex]x+7=5 ; x=-2[/tex]

C. [tex]x=5+7 ; x=12[/tex]

D. [tex]x+7=12 ; x=5[/tex]

Answer :

To solve the question, we need to create and solve a linear equation that adheres to the options provided:

1. Understanding the Equation: We have the equation [tex]\( x + 7 = 12 \)[/tex].

2. Isolating the Variable: Our goal is to find the value of [tex]\( x \)[/tex]. To do this, we need to isolate [tex]\( x \)[/tex] on one side of the equation.

- Start with the equation:
[tex]\[
x + 7 = 12
\][/tex]

- To isolate [tex]\( x \)[/tex], subtract 7 from both sides:
[tex]\[
x + 7 - 7 = 12 - 7
\][/tex]

- Simplifying both sides, you get:
[tex]\[
x = 5
\][/tex]

3. Solution: The value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( x + 7 = 12 \)[/tex] is [tex]\( x = 5 \)[/tex].

This solution matches one of the options provided: [tex]\( x + 7 = 12 ; x = 5 \)[/tex]. Therefore, this is the correct choice.

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