Question

Is x=7 a solution to the equation x-5-3(x+2)?
Fill in the blanks to answer the question.

Answer 1

1) 2=27

2) x= -11/2

3) no

Explanation:

Answer 2

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Answer:
`\textsf{x = 7 is not a solution}`

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Given:
`\texts{x - 5 = 3(x + 2)}`

Find:
`\textsf{Determine if x = 7 is a solution}`

Solution: The first step would be to substitute 7 for every x that we have in the expression and then we simplify both sides.

Substitute x with 7

• 
  `\texts{x - 5 = 3(x + 2)}`

• 
  `\texts{(7) - 5 = 3((7) + 2)}`

Simplify both sides

• 
  `\texts{2 = 3(7 + 2)}`

• 
  `\texts{2 = 3(9)}`

• 
  `\texts{2 = 27}`

Since the numbers are not equal on both sides this evaluates to false meaning that x = 7 is not a solution of the expression that was provided.