Question

Which of the following is an equation with one constant,2 coefficients,and three terms


A. 3x-4y=5y

B. 3x-y=5y

C. 3x-4=5y

D. 3x-4y=5x

Answer 1

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. \(3x - 4 = 5y\)**