Answered

Explore a wide range of topics and get answers from experts on IDNLearn.com. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.

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]

Sagot :

GinnyAnsweridn
Let's examine and solve the given linear equation step-by-step to find the correct answer.

Consider the equation:
[tex]\[ x + 7 = 12 \][/tex]

To solve for [tex]\( x \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here's how we can do that step-by-step:

1. Understand the Equation:
The equation [tex]\( x + 7 = 12 \)[/tex] means that when 7 is added to [tex]\( x \)[/tex], the result is 12.

2. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to get rid of the 7 on the left side. We can do this by subtracting 7 from both sides of the equation:
[tex]\[ x + 7 - 7 = 12 - 7 \][/tex]

3. Simplify:
Simplify both sides of the equation:
[tex]\[ x = 5 \][/tex]

Thus, the solution to the equation [tex]\( x + 7 = 12 \)[/tex] is:
[tex]\[ x = 5 \][/tex]

The correct answer is:
[tex]\[ x + 7 = 12 ; x = 5 \][/tex]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.