Answer :
To solve the given problem, we're dealing with a scenario where we need to create and solve a linear equation. Among the options provided, we're trying to find a balance where the equation is correctly set and solved.
Let's break down the given options to find the right equation and solution:
1. Option: [tex]\(x + 5 = 7 ; x = 2\)[/tex]
- Solve [tex]\(x + 5 = 7\)[/tex]:
- Subtract 5 from both sides: [tex]\(x = 7 - 5 = 2\)[/tex]
- This solution is correct for the equation [tex]\(x + 5 = 7\)[/tex].
2. Option: [tex]\(x = 5 + 7 ; x = 12\)[/tex]
- This is not a balanced equation setup initially and does not match the context of finding a solution through solving.
3. Option: [tex]\(x + 7 = 12 ; x = 5\)[/tex]
- Solve [tex]\(x + 7 = 12\)[/tex]:
- Subtract 7 from both sides: [tex]\(x = 12 - 7 = 5\)[/tex]
- This solution is correct for the equation [tex]\(x + 7 = 12\)[/tex].
4. Option: [tex]\(x + 7 = 5 ; x = -2\)[/tex]
- Solve [tex]\(x + 7 = 5\)[/tex]:
- Subtract 7 from both sides: [tex]\(x = 5 - 7 = -2\)[/tex]
- This solution is correct for the equation [tex]\(x + 7 = 5\)[/tex].
The correct choice, considering the true numerical result, is:
- [tex]\(x + 7 = 12\)[/tex] with [tex]\(x = 5\)[/tex]
This means the solution to the problem is verifying the equation [tex]\(x + 7 = 12\)[/tex] and solving it to get the value [tex]\(x = 5\)[/tex].
Let's break down the given options to find the right equation and solution:
1. Option: [tex]\(x + 5 = 7 ; x = 2\)[/tex]
- Solve [tex]\(x + 5 = 7\)[/tex]:
- Subtract 5 from both sides: [tex]\(x = 7 - 5 = 2\)[/tex]
- This solution is correct for the equation [tex]\(x + 5 = 7\)[/tex].
2. Option: [tex]\(x = 5 + 7 ; x = 12\)[/tex]
- This is not a balanced equation setup initially and does not match the context of finding a solution through solving.
3. Option: [tex]\(x + 7 = 12 ; x = 5\)[/tex]
- Solve [tex]\(x + 7 = 12\)[/tex]:
- Subtract 7 from both sides: [tex]\(x = 12 - 7 = 5\)[/tex]
- This solution is correct for the equation [tex]\(x + 7 = 12\)[/tex].
4. Option: [tex]\(x + 7 = 5 ; x = -2\)[/tex]
- Solve [tex]\(x + 7 = 5\)[/tex]:
- Subtract 7 from both sides: [tex]\(x = 5 - 7 = -2\)[/tex]
- This solution is correct for the equation [tex]\(x + 7 = 5\)[/tex].
The correct choice, considering the true numerical result, is:
- [tex]\(x + 7 = 12\)[/tex] with [tex]\(x = 5\)[/tex]
This means the solution to the problem is verifying the equation [tex]\(x + 7 = 12\)[/tex] and solving it to get the value [tex]\(x = 5\)[/tex].
