Which of the following is an equation with one constant, two coefficients, and three terms? 3x - 4y = 5x; 3x - y = 5y; 3x - 4y = 5y; 3x - 4 = 5y

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To identify the equation that has one constant, two coefficients, and three terms, let's analyze each option:

1. **3x - 4y = 5x**
- This can be rearranged to: \(3x - 5x - 4y = 0\) → \(-2x - 4y = 0\), which means it has two coefficients (for \(x\) and \(y\)), and a total of three terms (the terms being \(-2x\), \(-4y\), and \(0\)). But there's no constant on the left side of the equation.

2. **3x - y = 5y**
- Rearranging gives us: \(3x - 6y = 0\), which involves two coefficients (for \(x\) and \(y\)) and three terms (the terms are \(3x\), \(-6y\), and \(0\)). No constant present.

3. **3x - 4y = 5y**
- Rearranging results in: \(3x - 4y - 5y = 0\) → \(3x - 9y = 0\). This also has two coefficients (for \(x\) and \(y\)) and three terms (\(3x\), \(-9y\), and \(0\)). No constant present.

4. **3x - 4 = 5y**
- Rearranging gives us: \(3x - 5y - 4 = 0\). Here, there are two coefficients (for \(x\) and \(y\)), one constant term (-4), and three terms (\(3x\), \(-5y\), and \(-4\)).

From the analysis above, the equation **3x - 4 = 5y** fits the requirements perfectly as it has one constant (-4), two coefficients (3 and -5), and three terms (\(3x\), \(-5y\), and \(-4\)).

Therefore, the answer is **3x - 4 = 5y**.