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

Question

Responses

8, −3, 2, and 9 are constants.
8, negative 3 , 2, and 9 are constants.

8 is the only factor of 8x.
8 is the only factor of 8 x .

There are four variables.
There are four variables.

8, −3, 2, and 9 are coefficients.

Answer 1

To analyze the equation \(8x - 3y = 2x + 9y\), we can identify the components of the equation:

1. Constants vs. Coefficients: In this equation, 8, -3, 2, and 9 are coefficients of the variables \(x\) and \(y\). Specifically:
   • 8 is the coefficient of \(x\) in \(8x\)
   • -3 is the coefficient of \(y\) in \(-3y\)
   • 2 is the coefficient of \(x\) in \(2x\)
   • 9 is the coefficient of \(y\) in \(9y\)

Based on this information, the correct statement is:

8, −3, 2, and 9 are coefficients.

Thus, the appropriate response is the one confirming that 8, -3, 2, and 9 are coefficients.