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 (1 point) Option # contains two coefficients and three terms.

Answer 1

it was 3

Answer 2

To determine which option contains two coefficients and three terms, let's analyze each option:

**Option #1: \(2x - 3 = 4 - y\)**
- Rearranging gives: \(2x - y - 7 = 0\)
- This expression has terms: \(2x\), \(-y\), and \(-7\) (which are three terms).
- Coefficients: \(2\) (for \(x\)) and \(-1\) (for \(y\)), which gives us two coefficients.

**Option #2: \(6 + 7y = 5\)**
- Rearranging gives: \(7y + 1 = 0\)
- This expression has terms: \(7y\) and \(1\) (which are two terms).
- Coefficients: \(7\) (for \(y\)), which gives us only one coefficient.

**Option #3: \(9x = 1 - 8x\)**
- Rearranging gives: \(9x + 8x - 1 = 0\)
- This expression has terms: \(9x\), \(8x\), and \(-1\) (which are three terms).
- Coefficients: \(9\) (for \(x\)) and \(8\) (for \(x\)), which gives us two coefficients.

From the analysis, **Option #1** and **Option #3** both have two coefficients and three terms. However, based on the original query, it seems you're asking for a singular option.

If choosing one is required, **Option #1** is the first that meets the criteria of two coefficients and three terms and should be selected.

So the final answer is **Option #1**: \(2x - 3 = 4 - y\) contains two coefficients and three terms.

Answer 3

Thank you for your clarification! Yes, you are correct that **Option #3**: \(9x = 1 - 8x\) contains two coefficients and three terms.

Let's break that down again for clarity:

**Option #3: \(9x = 1 - 8x\)**
- Rearranging gives: \(9x + 8x - 1 = 0\)
- This results in: \( (9 + 8)x - 1 = 0\)
- The terms are: \(9x\), \(-8x\), and \(-1\) (three terms total).
- The coefficients are: \(9\) (for \(x\)) and \(-8\) (for \(x\)), which gives us two coefficients.

So indeed, **Option #3** is the correct choice as it contains two coefficients and three terms. Thank you for your patience!