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Answer :
To solve the problem where "the difference between [tex]\( x \)[/tex] and 89 is 7," we need to figure out the correct equation and find the value of [tex]\( x \)[/tex].
The phrase "the difference between [tex]\( x \)[/tex] and 89" suggests the mathematical expression [tex]\( x - 89 \)[/tex]. According to the problem, this difference is equal to 7. Therefore, the correct equation that models this situation is:
[tex]\[ x - 89 = 7 \][/tex]
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We can do this by performing the inverse operation of what's being done to [tex]\( x \)[/tex]. Currently, 89 is being subtracted from [tex]\( x \)[/tex], so we will add 89 to both sides of the equation to cancel it out on the left side:
1. Start with the equation:
[tex]\[ x - 89 = 7 \][/tex]
2. Add 89 to both sides:
[tex]\[ x - 89 + 89 = 7 + 89 \][/tex]
3. Simplify both sides:
[tex]\[ x = 96 \][/tex]
Therefore, the solution to the equation, and the value of [tex]\( x \)[/tex] that satisfies the condition given in the problem, is [tex]\( x = 96 \)[/tex].
The correct approach and equation are represented by the choice:
"Write the equation as [tex]\( x - 89 = 7 \)[/tex] and add 89 to both sides. The answer is 96."
The phrase "the difference between [tex]\( x \)[/tex] and 89" suggests the mathematical expression [tex]\( x - 89 \)[/tex]. According to the problem, this difference is equal to 7. Therefore, the correct equation that models this situation is:
[tex]\[ x - 89 = 7 \][/tex]
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We can do this by performing the inverse operation of what's being done to [tex]\( x \)[/tex]. Currently, 89 is being subtracted from [tex]\( x \)[/tex], so we will add 89 to both sides of the equation to cancel it out on the left side:
1. Start with the equation:
[tex]\[ x - 89 = 7 \][/tex]
2. Add 89 to both sides:
[tex]\[ x - 89 + 89 = 7 + 89 \][/tex]
3. Simplify both sides:
[tex]\[ x = 96 \][/tex]
Therefore, the solution to the equation, and the value of [tex]\( x \)[/tex] that satisfies the condition given in the problem, is [tex]\( x = 96 \)[/tex].
The correct approach and equation are represented by the choice:
"Write the equation as [tex]\( x - 89 = 7 \)[/tex] and add 89 to both sides. The answer is 96."
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