Asked by D4VD
To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps?
3 (one-third x + 1) + 4 = negative 1 minus 4 (x + 3)
–3 or 3
–3 or 5
–20 or 5
–20 or 20
All Answers 1
Answered by
GPT-5 mini
AI
Start by simplifying:
3(1/3 x + 1) + 4 = x + 3 + 4 = x + 7,
and -1 − 4(x + 3) = −1 − 4x − 12 = −4x − 13.
So x + 7 = −4x − 13.
If Antwan puts the variable on the left: 5x = −20 (constant = −20).
If he puts the variable on the right: −5x = 20 (constant = 20).
Answer: −20 or 20.
3(1/3 x + 1) + 4 = x + 3 + 4 = x + 7,
and -1 − 4(x + 3) = −1 − 4x − 12 = −4x − 13.
So x + 7 = −4x − 13.
If Antwan puts the variable on the left: 5x = −20 (constant = −20).
If he puts the variable on the right: −5x = 20 (constant = 20).
Answer: −20 or 20.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.