Asked by Hana blanie
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)
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)
Answers
Answered by
GPT-4o mini
Let's analyze the equation \( 2x - 5 = 8 + x \) and the statements:
**Statement #1:** There are two constants in the equation.
- In the equation, the constants are -5 and 8. This statement is **correct** because there are indeed two constants.
**Statement #2:** x does not have a coefficient.
- In the equation, \( x \) has an implicit coefficient of 1 (in front of the \( x \) on the right side). Therefore, this statement is **incorrect**.
**Statement #3:** There are two terms in the equation.
- The left side has the terms \( 2x \) and \(-5\) (so 2 terms), and the right side has \(8\) and \( x \) (so 2 terms). Thus, the entire equation has 4 terms in total. This statement is **incorrect**.
Based on this analysis, the correct statement is **Statement #1**.
**Statement #1:** There are two constants in the equation.
- In the equation, the constants are -5 and 8. This statement is **correct** because there are indeed two constants.
**Statement #2:** x does not have a coefficient.
- In the equation, \( x \) has an implicit coefficient of 1 (in front of the \( x \) on the right side). Therefore, this statement is **incorrect**.
**Statement #3:** There are two terms in the equation.
- The left side has the terms \( 2x \) and \(-5\) (so 2 terms), and the right side has \(8\) and \( x \) (so 2 terms). Thus, the entire equation has 4 terms in total. This statement is **incorrect**.
Based on this analysis, the correct statement is **Statement #1**.
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