To determine which of the given equations contains two coefficients and three terms, we first need to analyze each option:
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#1: \( 2x - 3 = 4 - y \)
- Rearranging this equation gives us: \( 2x - y - 3 - 4 = 0 \) or \( 2x - y - 7 = 0 \).
- This has three terms: \( 2x \), \(-y\), and \(-7\).
- Coefficients are \( 2 \) (of \( x \)) and \( -1 \) (of \( y \)).
- This option contains two coefficients and three terms.
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#2: \( 6 + 7y = 5 \)
- Rearranging gives us \( 7y + 6 - 5 = 0\) or \( 7y + 1 = 0 \).
- This has two terms: \( 7y \) and \( 1 \).
- There is only one coefficient, which is \( 7 \) (of \( y \)).
- This option does not satisfy the requirements.
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#3: \( 9x = 1 - 8x \)
- Rearranging gives us \( 9x + 8x - 1 = 0 \) or \( 17x - 1 = 0 \).
- This has two terms: \( 17x \) and \(-1\).
- There is only one coefficient, which is \( 17 \) (of \( x \)).
- This option does not satisfy the requirements.
Based on the analysis:
- Only option #1 contains two coefficients and three terms.
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