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Answer :
Alright, let's go through each of the given linear equations and check step-by-step to see if their solutions are correct:
1. Equation: [tex]\( x = 5 + 7 \)[/tex]
- Solution: [tex]\( x = 12 \)[/tex]
- To verify, we calculate [tex]\( 5 + 7 \)[/tex]:
[tex]\[
5 + 7 = 12
\][/tex]
- Therefore, the solution [tex]\( x = 12 \)[/tex] is correct.
2. Equation: [tex]\( x + 7 = 5 \)[/tex]
- Solution: [tex]\( x = -2 \)[/tex]
- To verify, we isolate [tex]\( x \)[/tex] by subtracting 7 from both sides:
[tex]\[
x + 7 - 7 = 5 - 7 \implies x = -2
\][/tex]
- Therefore, the solution [tex]\( x = -2 \)[/tex] is correct.
3. Equation: [tex]\( x + 7 = 12 \)[/tex]
- Solution: [tex]\( x = 5 \)[/tex]
- To verify, we isolate [tex]\( x \)[/tex] by subtracting 7 from both sides:
[tex]\[
x + 7 - 7 = 12 - 7 \implies x = 5
\][/tex]
- Therefore, the solution [tex]\( x = 5 \)[/tex] is correct.
4. Equation: [tex]\( x + 5 = 7 \)[/tex]
- Solution: [tex]\( x = 2 \)[/tex]
- To verify, we isolate [tex]\( x \)[/tex] by subtracting 5 from both sides:
[tex]\[
x + 5 - 5 = 7 - 5 \implies x = 2
\][/tex]
- Therefore, the solution [tex]\( x = 2 \)[/tex] is correct.
Upon review, all the provided solutions are correct for their respective linear equations:
- [tex]\( x = 5 + 7 \rightarrow x = 12 \)[/tex]
- [tex]\( x + 7 = 5 \rightarrow x = -2 \)[/tex]
- [tex]\( x + 7 = 12 \rightarrow x = 5 \)[/tex]
- [tex]\( x + 5 = 7 \rightarrow x = 2 \)[/tex]
Therefore, the correct options for the given problem are:
1, 2, 3, and 4.
1. Equation: [tex]\( x = 5 + 7 \)[/tex]
- Solution: [tex]\( x = 12 \)[/tex]
- To verify, we calculate [tex]\( 5 + 7 \)[/tex]:
[tex]\[
5 + 7 = 12
\][/tex]
- Therefore, the solution [tex]\( x = 12 \)[/tex] is correct.
2. Equation: [tex]\( x + 7 = 5 \)[/tex]
- Solution: [tex]\( x = -2 \)[/tex]
- To verify, we isolate [tex]\( x \)[/tex] by subtracting 7 from both sides:
[tex]\[
x + 7 - 7 = 5 - 7 \implies x = -2
\][/tex]
- Therefore, the solution [tex]\( x = -2 \)[/tex] is correct.
3. Equation: [tex]\( x + 7 = 12 \)[/tex]
- Solution: [tex]\( x = 5 \)[/tex]
- To verify, we isolate [tex]\( x \)[/tex] by subtracting 7 from both sides:
[tex]\[
x + 7 - 7 = 12 - 7 \implies x = 5
\][/tex]
- Therefore, the solution [tex]\( x = 5 \)[/tex] is correct.
4. Equation: [tex]\( x + 5 = 7 \)[/tex]
- Solution: [tex]\( x = 2 \)[/tex]
- To verify, we isolate [tex]\( x \)[/tex] by subtracting 5 from both sides:
[tex]\[
x + 5 - 5 = 7 - 5 \implies x = 2
\][/tex]
- Therefore, the solution [tex]\( x = 2 \)[/tex] is correct.
Upon review, all the provided solutions are correct for their respective linear equations:
- [tex]\( x = 5 + 7 \rightarrow x = 12 \)[/tex]
- [tex]\( x + 7 = 5 \rightarrow x = -2 \)[/tex]
- [tex]\( x + 7 = 12 \rightarrow x = 5 \)[/tex]
- [tex]\( x + 5 = 7 \rightarrow x = 2 \)[/tex]
Therefore, the correct options for the given problem are:
1, 2, 3, and 4.
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