Answer :
To find the linear equation that represents the statement "the sum of 6 and [tex]\( x \)[/tex] is 9," let's break it down:
1. Understanding the Phrase:
- "The sum of 6 and [tex]\( x \)[/tex]" means you add 6 and [tex]\( x \)[/tex] together. This can be written as [tex]\( 6 + x \)[/tex].
- "Is 9" means that when you add 6 and [tex]\( x \)[/tex], the result equals 9.
2. Writing the Equation:
- You can express this as an equation: [tex]\( 6 + x = 9 \)[/tex].
3. Choosing the Correct Option:
- Look at the options provided:
- A) [tex]\( 6 + x \)[/tex]
- B) [tex]\( 6x + 9 \)[/tex]
- C) [tex]\( 6 + x = 9 \)[/tex]
- D) [tex]\( 9 - 6x = x \)[/tex]
- Option C, [tex]\( 6 + x = 9 \)[/tex], correctly represents the equation where the sum of 6 and [tex]\( x \)[/tex] is equal to 9.
Therefore, the correct answer is C) [tex]\( 6 + x = 9 \)[/tex].
1. Understanding the Phrase:
- "The sum of 6 and [tex]\( x \)[/tex]" means you add 6 and [tex]\( x \)[/tex] together. This can be written as [tex]\( 6 + x \)[/tex].
- "Is 9" means that when you add 6 and [tex]\( x \)[/tex], the result equals 9.
2. Writing the Equation:
- You can express this as an equation: [tex]\( 6 + x = 9 \)[/tex].
3. Choosing the Correct Option:
- Look at the options provided:
- A) [tex]\( 6 + x \)[/tex]
- B) [tex]\( 6x + 9 \)[/tex]
- C) [tex]\( 6 + x = 9 \)[/tex]
- D) [tex]\( 9 - 6x = x \)[/tex]
- Option C, [tex]\( 6 + x = 9 \)[/tex], correctly represents the equation where the sum of 6 and [tex]\( x \)[/tex] is equal to 9.
Therefore, the correct answer is C) [tex]\( 6 + x = 9 \)[/tex].
