Which of the following statements about the equation 2x−5=8+x is correct?

Statement #1: There are two constants in the equation.

Statement #2: x does not have a coefficient.

Statement #3: There are two terms in the equation.

(1 point)
Statement #
is correct.

1 answer

Let's analyze each statement about the equation \( 2x - 5 = 8 + x \):

Statement #1: There are two constants in the equation.

  • In the equation, we have \(-5\) and \(8\), which are constants. So, this statement is correct, as there are indeed two constants.

Statement #2: x does not have a coefficient.

  • In the terms \(2x\) and \(x\), the term \(2x\) has a coefficient of 2, and \(x\) has an implied coefficient of 1. Therefore, this statement is incorrect, as \(x\) does have a coefficient.

Statement #3: There are two terms in the equation.

  • The left side has \(2x\) and \(-5\), totaling 2 terms, while the right side has \(8\) and \(x\), totaling another 2 terms. So, there are a total of 4 terms in the equation, making this statement incorrect.

Thus, only Statement #1 is correct.

Final answer: Statement #1 is correct.