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Given the equation 8x−3y=2x+9y , which of the following statements is correct?


Responses
There are four variables.
8, −3, 2, and 9 are constants.
8 is the only factor of 8x.
8, −3, 2, and 9 are coefficients.

1 answer

To analyze the equation \(8x - 3y = 2x + 9y\), let's break down the components:

  1. Variables: The variables in the equation are \(x\) and \(y\).
  2. Constants: The numbers 8, -3, 2, and 9 are not constants; rather, they are coefficients since they multiply the variables.
  3. Factors: The term "factor" typically refers to numbers that multiply together to form another number (for instance, in \(8x\), the number 8 is the coefficient, not a factor in the way described in the choices).
  4. Coefficients: The numbers 8, -3, 2, and 9 are coefficients of the variables \(x\) and \(y\) in the expression.

Based on this analysis, the correct statement is:

8, −3, 2, and 9 are coefficients.