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

Question

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.

Answer 1

To analyze the statements about the equation \(2x - 5 = 8 + x\):

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

   • In the equation, the constants are \(-5\) and \(8\). Therefore, this statement is correct.

2. Statement #2: x does not have a coefficient.

   • The term \(2x\) has a coefficient of \(2\), and the term \(x\) has an implicit coefficient of \(1\). So, this statement is incorrect.

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

   • The left side of the equation has two terms: \(2x\) and \(-5\). The right side also has two terms: \(8\) and \(x\). Altogether, there are four terms. Therefore, this statement is incorrect.

Based on the analysis, the only correct statement is:

Statement #1 is correct.