Answer :
To solve the linear equation that represents the model, let's go through the options and select the correct one:
We're given these options:
1. [tex]\( x + 7 = 5 \)[/tex] ; [tex]\( x = -2 \)[/tex]
2. [tex]\( x = 5 + 7 \)[/tex] ; [tex]\( x = 12 \)[/tex]
3. [tex]\( x + 7 = 12 \)[/tex] ; [tex]\( x = 5 \)[/tex]
4. [tex]\( x + 5 = 7 \)[/tex] ; [tex]\( x = 2 \)[/tex]
Let's analyze the options to find the correct one:
1. Option 1:
- Equation: [tex]\( x + 7 = 5 \)[/tex]
- Solving it: [tex]\( x = 5 - 7 = -2 \)[/tex]
- While the solution matches, it may not represent the model correctly.
2. Option 2:
- Equation: [tex]\( x = 5 + 7 \)[/tex]
- Solving it: [tex]\( x = 12 \)[/tex]
- This is not a typical linear equation with terms on both sides.
3. Option 3:
- Equation: [tex]\( x + 7 = 12 \)[/tex]
- Solving it: Subtract [tex]\( 7 \)[/tex] from both sides to find [tex]\( x \)[/tex].
- [tex]\( x = 12 - 7 = 5 \)[/tex]
- This solution makes sense as a balanced equation.
4. Option 4:
- Equation: [tex]\( x + 5 = 7 \)[/tex]
- Solving it: [tex]\( x = 7 - 5 = 2 \)[/tex]
- This does not match the expected solution.
After reviewing all options, the correct equation and solution is:
- Equation: [tex]\( x + 7 = 12 \)[/tex]
- Solution: [tex]\( x = 5 \)[/tex]
Thus, Option 3 is the correct choice, where the model is represented by the equation [tex]\( x + 7 = 12 \)[/tex], and the solution is [tex]\( x = 5 \)[/tex].
We're given these options:
1. [tex]\( x + 7 = 5 \)[/tex] ; [tex]\( x = -2 \)[/tex]
2. [tex]\( x = 5 + 7 \)[/tex] ; [tex]\( x = 12 \)[/tex]
3. [tex]\( x + 7 = 12 \)[/tex] ; [tex]\( x = 5 \)[/tex]
4. [tex]\( x + 5 = 7 \)[/tex] ; [tex]\( x = 2 \)[/tex]
Let's analyze the options to find the correct one:
1. Option 1:
- Equation: [tex]\( x + 7 = 5 \)[/tex]
- Solving it: [tex]\( x = 5 - 7 = -2 \)[/tex]
- While the solution matches, it may not represent the model correctly.
2. Option 2:
- Equation: [tex]\( x = 5 + 7 \)[/tex]
- Solving it: [tex]\( x = 12 \)[/tex]
- This is not a typical linear equation with terms on both sides.
3. Option 3:
- Equation: [tex]\( x + 7 = 12 \)[/tex]
- Solving it: Subtract [tex]\( 7 \)[/tex] from both sides to find [tex]\( x \)[/tex].
- [tex]\( x = 12 - 7 = 5 \)[/tex]
- This solution makes sense as a balanced equation.
4. Option 4:
- Equation: [tex]\( x + 5 = 7 \)[/tex]
- Solving it: [tex]\( x = 7 - 5 = 2 \)[/tex]
- This does not match the expected solution.
After reviewing all options, the correct equation and solution is:
- Equation: [tex]\( x + 7 = 12 \)[/tex]
- Solution: [tex]\( x = 5 \)[/tex]
Thus, Option 3 is the correct choice, where the model is represented by the equation [tex]\( x + 7 = 12 \)[/tex], and the solution is [tex]\( x = 5 \)[/tex].
