Question

Select all pairs of like terms in the expression 2x−6+5x+3.(2 points)Responses2x and −62x and −6−6 and 3−6 and 32x and 5x2x and 5x3x and 3

Answer 1

To identify the pairs of like terms in the expression \(2x - 6 + 5x + 3\), we'll first group the terms based on whether they are constants or involve the variable \(x\).

- The terms with \(x\) are: \(2x\) and \(5x\).
- The constant terms are: \(-6\) and \(3\).

Now, let's identify the pairs of like terms:

1. \(2x\) and \(5x\) are like terms (both contain \(x\)).
2. \(-6\) and \(3\) are also like terms (both are constants).

Here are the relevant pairs of like terms:

- \(2x\) and \(5x\)
- \(-6\) and \(3\)

So the correct responses are:
- \(2x\) and \(5x\)
- \(-6\) and \(3\)

Other options do not represent like terms.