High School

Select the correct answer.

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

A. [tex]x + 7 = 5 ; x = -2[/tex]
B. [tex]x + 7 = 12 ; x = 5[/tex]
C. [tex]x + 5 = 7 ; x = 2[/tex]
D. [tex]x = 5 + 7 ; x = 12[/tex]

Answer :

Let's solve this step by step:

We're given a linear equation and asked to solve for [tex]\( x \)[/tex]. Among the options, we'll identify which equation makes sense and verify the solution:

The equation is:

[tex]\[ x + 5 = 7 \][/tex]

Let's solve it:

1. To isolate [tex]\( x \)[/tex], we need to remove the 5 that's being added to it. We do this by subtracting 5 from both sides of the equation:

[tex]\[ x + 5 - 5 = 7 - 5 \][/tex]

2. Simplify both sides:

[tex]\[ x = 2 \][/tex]

So, the solution to the equation [tex]\( x + 5 = 7 \)[/tex] is [tex]\( x = 2 \)[/tex].

Therefore, the correct answer is:

[tex]\[ x + 5 = 7 ; x = 2 \][/tex]

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