Question
which of the following options contains two coefficients and three terms?
option#1: 2x-3=4-y
option#2: 6+7y=5
option#3: 9x=1-8x
option#1: 2x-3=4-y
option#2: 6+7y=5
option#3: 9x=1-8x
Answers
GPT-4o mini
To analyze which of the options contains two coefficients and three terms, let's break down each option.
1. **Option #1: \(2x - 3 = 4 - y\)**
- Rearranging gives: \(2x + y - 7 = 0\)
- This can be considered to have three terms: \(2x\), \(y\), and \(-7\), and has two coefficients (the coefficients of \(x\) and \(y\) are 2 and 1, respectively).
2. **Option #2: \(6 + 7y = 5\)**
- Rearranging gives: \(7y + 1 = 0\)
- This has two terms: \(7y\) and \(1\), and only one coefficient (which is 7).
3. **Option #3: \(9x = 1 - 8x\)**
- Rearranging gives: \(9x + 8x - 1 = 0\) or \(17x - 1 = 0\)
- This also has two terms: \(17x\) and \(-1\), but as in the previous case, it only has one coefficient (which is 17).
Based on this breakdown, **Option #1** is the only option that contains two coefficients and three terms.
1. **Option #1: \(2x - 3 = 4 - y\)**
- Rearranging gives: \(2x + y - 7 = 0\)
- This can be considered to have three terms: \(2x\), \(y\), and \(-7\), and has two coefficients (the coefficients of \(x\) and \(y\) are 2 and 1, respectively).
2. **Option #2: \(6 + 7y = 5\)**
- Rearranging gives: \(7y + 1 = 0\)
- This has two terms: \(7y\) and \(1\), and only one coefficient (which is 7).
3. **Option #3: \(9x = 1 - 8x\)**
- Rearranging gives: \(9x + 8x - 1 = 0\) or \(17x - 1 = 0\)
- This also has two terms: \(17x\) and \(-1\), but as in the previous case, it only has one coefficient (which is 17).
Based on this breakdown, **Option #1** is the only option that contains two coefficients and three terms.