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Identify the terms, constants, coefficients, and variables in the following equation:

13x−5y−2=3.
Question 5 Options:
a) 13
b) 13x
c) 5y
d) 3

1 Answer

7 votes

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.
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