Given the equation 8x−3y=2x+9y, which of the following statements is correct?(1 point)

Question

Responses

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

Answer 1

To analyze the equation \(8x - 3y = 2x + 9y\), let's first identify the variables, constants, and coefficients.

1. The equation contains two variables: \(x\) and \(y\).
2. The coefficients in the equation are the numbers in front of the variables:
   • For \(8x\), the coefficient is \(8\).
   • For \(-3y\), the coefficient is \(-3\).
   • For \(2x\), the coefficient is \(2\).
   • For \(9y\), the coefficient is \(9\).

So the coefficients are \(8\), \(-3\), \(2\), and \(9\).

Constants are typically standalone numbers not multiplied by variables; in this equation, there are no constants.

Based on this information, the correct statement is:

8, −3, 2, and 9 are coefficients.