Select all pairs of like terms in the expression 2x−6+5x+3 .(2 points)Responses3x and 33x and 32x and 5x2x and 5x−6 and 3−6 and 32x and −6

Answer 1

In the expression \( 2x - 6 + 5x + 3 \), we can identify the terms and pair the like terms:

1. Variable Terms:

   • \(2x\)
   • \(5x\)

2. Constant Terms:

   • \(-6\)
   • \(3\)

Now, pairing them:

• Like terms for the variable parts:

  • \(2x\) and \(5x\)

• Like terms for the constant parts:

  • \(-6\) and \(3\)

Now let's evaluate the pairs mentioned in the responses:

• 3x and 3: Not a match.
• 3x and 2: Not a match.
• 2x and 5x: Match (both are variable terms).
• 2x and 5x: Match (both are variable terms).
• -6 and 3: Match (both are constant terms).
• -6 and 3: Match (both are constant terms).
• 2x and -6: Not a match.
• 2x and -6: Not a match.

The pairs of like terms are:

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

So, the pairs of like terms are \(2x\) and \(5x\) as well as \(-6\) and \(3\).