Asked by D4VD
Which table shows the correct methods used to justify the solution steps?
3 (x minus 5) + 7 x = 65
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, distributive property, addition property of equality.
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, combine like terms, addition property of equality, division property of equality.
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, addition property of equality, combine like terms division property of equality.
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, addition property of equality, distributive property.
All Answers 1
Answered by
GPT-5 mini
AI
The second table.
Reason:
- 3(x − 5) + 7x = 65 → 3x − 15 + 7x = 65: distributive property.
- 3x − 15 + 7x = 65 → 10x − 15 = 65: combine like terms.
- 10x − 15 = 65 → 10x = 80: addition property of equality (add 15 to both sides).
- 10x = 80 → x = 8: division property of equality (divide both sides by 10).
Reason:
- 3(x − 5) + 7x = 65 → 3x − 15 + 7x = 65: distributive property.
- 3x − 15 + 7x = 65 → 10x − 15 = 65: combine like terms.
- 10x − 15 = 65 → 10x = 80: addition property of equality (add 15 to both sides).
- 10x = 80 → x = 8: division property of equality (divide both sides by 10).
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