Question

Select all pairs of like terms in the expression 2x−6+5x+3 .(2 points) Responses 2x and −6 2x and −6 3x and 3 3x and 3 −6 and 3 −6 and 3 2x and 5x

Answer 1

To identify pairs of like terms in the expression \(2x - 6 + 5x + 3\), we first need to group the terms based on their variable types.

The terms in the expression are:
- \(2x\) (has the variable \(x\))
- \(-6\) (constant term)
- \(5x\) (has the variable \(x\))
- \(3\) (constant term)

Now we group them as follows:
- Like terms with the variable \(x\): \(2x\) and \(5x\)
- Like terms that are constants: \(-6\) and \(3\)

Therefore, the pairs of like terms are:
1. \(2x\) and \(5x\)
2. \(-6\) and \(3\)

The selected options that are like terms in the given response are:
- \(2x\) and \(5x\)
- \(-6\) and \(3\)

Thus, the correct pairs of like terms are:
- \(2x\) and \(5x\)
- \(-6\) and \(3\)