Question

What is 3x+1? They say its really easy and I don't know how.

Answer 1

3[x + 1/3]

Explanation:

Note: The expression 3x + 1 cannot be simplified because the terms (1 and 3x) are not like terms. However, we can factorize the expression.

Like terms are such terms that have the same variables and are being raised to the same powers. An example of like terms could be 3x and 5x.

To factorize the expression, simply determine a common factor of both the terms (3x and 1) and factor it out of the provided expression.

Here, we are given: 3x + 1

In this case, the common factor of both terms is 3. Therefore:

• ⇒ (3 × x) + (3 × 1/3)
• ⇒ 3[(x) + (1/3)]

Finally, let's open the parentheses "( )":

• ⇒ 3[x + 1/3]

Therefore, the factorized expression is 3[x + 1/3].

Answer 2

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Answer:
`\textsf{x = - 1 / 3}`

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Given:
`\textsf{3x + 1}`

Find:
`\textsf{The value of the unknown variable x}`

Solution: In order to solve for x we need to isolate it with the first step being to subtract 1 from both sides and then we would divide both sides by 3 to give us the solution.

Subtract 1 from both sides

• 
  `\textsf{3x + 1 = 0}`

• 
  `\textsf{3x + 1 - 1 = 0 - 1}`

• 
  `\textsf{3x = 0 - 1}`

• 
  `\textsf{3x = - 1}`

Divide both sides by 3

• 
  `\textsf{3x / 3 = - 1 / 3}`

• 
  `\textsf{x = - 1 / 3}`

Therefore, the final answer would be that x is equal to -1/3.