Question
Select the two expressions that are equivalent.(2 points)
Responses
−3x+7y
negative 3 x plus 7 y
−7y+3x
negative 7 y plus 3 x
−7y−3x
negative 7 y minus 3 x
7y−3x
7 y minus 3 x
Responses
−3x+7y
negative 3 x plus 7 y
−7y+3x
negative 7 y plus 3 x
−7y−3x
negative 7 y minus 3 x
7y−3x
7 y minus 3 x
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which two expressions are equivalent, we can analyze the provided options:
1. **−3x + 7y**: This can be expressed as \( 7y - 3x \) by rearranging the terms.
2. **−7y + 3x**: This is not equivalent to \( −3x + 7y \).
3. **−7y − 3x**: This is clearly not equivalent to \( −3x + 7y \) as it has different signs and different coefficients.
4. **7y − 3x**: This is equivalent to \( −3x + 7y \) since rearranging \( −3x + 7y \) gives us \( 7y - 3x \).
Thus, the two equivalent expressions are:
- **−3x + 7y**
- **7y − 3x**
1. **−3x + 7y**: This can be expressed as \( 7y - 3x \) by rearranging the terms.
2. **−7y + 3x**: This is not equivalent to \( −3x + 7y \).
3. **−7y − 3x**: This is clearly not equivalent to \( −3x + 7y \) as it has different signs and different coefficients.
4. **7y − 3x**: This is equivalent to \( −3x + 7y \) since rearranging \( −3x + 7y \) gives us \( 7y - 3x \).
Thus, the two equivalent expressions are:
- **−3x + 7y**
- **7y − 3x**
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