To identify an equation with one constant, two coefficients, and three terms, we first need to understand the definitions:
- Constant: A term that does not change and does not contain any variables (e.g., a number like 4).
- Coefficients: Numbers that multiply variables (e.g., in \(3x\), 3 is the coefficient of \(x\)).
- Terms: Individual parts of the equation separated by addition or subtraction.
Now, let's analyze each option:
A. \(3x - 4y = 5y\)
- Terms: \(3x\), \(-4y\), \(5y\) (This has three terms but has no constant.)
B. \(3x - y = 5y\)
- Terms: \(3x\), \(-y\), \(5y\) (This also has three terms but has no constant.)
C. \(3x - 4 = 5y\)
- Terms: \(3x\), \(-4\), \(5y\) (This has three terms, one constant \(-4\), and two coefficients: \(3\) (for \(x\)) and \(5\) (for \(y\)).)
D. \(3x - 4y = 5x\)
- Terms: \(3x\), \(-4y\), \(5x\) (This has three terms but has no constant.)
Based on the analysis, the correct option that fits the description of having one constant, two coefficients, and three terms is:
C. \(3x - 4 = 5y\)