Final answer:
The equation 13x-5y-2=3 contains terms (13x, -5y, -2), constants (-2 and 3), coefficients (13 and -5), and variables (x and y). Example given for finding a dependent variable is y = 9 + 3x.
Step-by-step explanation:
To identify the components of the algebraic equation 13x-5y-2=3, we must first understand the definitions of terms, constants, coefficients, and variables.
- Terms are the elements that are either added or subtracted in an equation. In this equation, 13x, -5y, and -2 are the terms.
- Constants are numbers that stand on their own, which in this equation is -2 on the left side and 3 on the right side.
- Coefficients are the numbers multiplied by the variables, which are 13 for the variable x and -5 for the variable y.
- Variables are symbols that represent unknown values. In the equation, x and y are variables, where x is typically the independent variable and y is the dependent variable.