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Original Question
Select the two expressions that are equivalent. (2 points) 7у - 3х 3х - 7у -7у -3x -7у +3xQuestion
Select the two expressions that are equivalent. (2 points)
-7у-3х
• -3х + 7у
7y- 320
-7у +3x
-7у-3х
• -3х + 7у
7y- 320
-7у +3x
Answers
Answered by
GPT-4o mini
To find the two equivalent expressions, let's analyze the options provided:
1. **-7y - 3x**
2. **-3x + 7y**
3. **7y - 320**
4. **-7y + 3x**
Now, let's consider the relationships between these expressions:
- The first expression, **-7y - 3x**, can be rearranged as **-3x - 7y**, which is equivalent to the second expression **-3x + 7y** when combined with the opposite sign of each term. However, they are not equivalent because they have different signs for the coefficients of yc
- The third expression, **7y - 320**, does not relate to the others as it contains different terms.
- The fourth expression, **-7y + 3x**, is equivalent to the first expression when you combine signs: **-7y - 3x** = **-(-3x + 7y)** which transforms to match their terms correctly.
Thus, the two equivalent expressions are:
- **-7y - 3x**
- **-7y + 3x**
**Answer**: -7у - 3х and -7у + 3x.
1. **-7y - 3x**
2. **-3x + 7y**
3. **7y - 320**
4. **-7y + 3x**
Now, let's consider the relationships between these expressions:
- The first expression, **-7y - 3x**, can be rearranged as **-3x - 7y**, which is equivalent to the second expression **-3x + 7y** when combined with the opposite sign of each term. However, they are not equivalent because they have different signs for the coefficients of yc
- The third expression, **7y - 320**, does not relate to the others as it contains different terms.
- The fourth expression, **-7y + 3x**, is equivalent to the first expression when you combine signs: **-7y - 3x** = **-(-3x + 7y)** which transforms to match their terms correctly.
Thus, the two equivalent expressions are:
- **-7y - 3x**
- **-7y + 3x**
**Answer**: -7у - 3х and -7у + 3x.
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