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Answer :
Sure! Let's solve this step by step.
The problem states: "The difference between [tex]\( x \)[/tex] and 89 is 7."
To model this situation using an equation, we need to understand that "the difference between [tex]\( x \)[/tex] and 89" means we are subtracting 89 from [tex]\( x \)[/tex]. So, we can represent this as:
[tex]\[ x - 89 = 7 \][/tex]
Now, let's solve the equation for [tex]\( x \)[/tex]:
1. Start with the equation:
[tex]\[ x - 89 = 7 \][/tex]
2. To solve for [tex]\( x \)[/tex], we need to get [tex]\( x \)[/tex] by itself on one side of the equation. So, we will add 89 to both sides of the equation to cancel out the -89:
[tex]\[
x - 89 + 89 = 7 + 89
\][/tex]
3. Simplify the left side:
[tex]\[
x = 96
\][/tex]
Therefore, the correct equation is [tex]\( x - 89 = 7 \)[/tex], and after solving, we find that [tex]\( x = 96 \)[/tex].
Among the given options, this corresponds to: "Write the equation as [tex]\( x-89=7 \)[/tex] and add 89 to both sides. The answer is 96."
The problem states: "The difference between [tex]\( x \)[/tex] and 89 is 7."
To model this situation using an equation, we need to understand that "the difference between [tex]\( x \)[/tex] and 89" means we are subtracting 89 from [tex]\( x \)[/tex]. So, we can represent this as:
[tex]\[ x - 89 = 7 \][/tex]
Now, let's solve the equation for [tex]\( x \)[/tex]:
1. Start with the equation:
[tex]\[ x - 89 = 7 \][/tex]
2. To solve for [tex]\( x \)[/tex], we need to get [tex]\( x \)[/tex] by itself on one side of the equation. So, we will add 89 to both sides of the equation to cancel out the -89:
[tex]\[
x - 89 + 89 = 7 + 89
\][/tex]
3. Simplify the left side:
[tex]\[
x = 96
\][/tex]
Therefore, the correct equation is [tex]\( x - 89 = 7 \)[/tex], and after solving, we find that [tex]\( x = 96 \)[/tex].
Among the given options, this corresponds to: "Write the equation as [tex]\( x-89=7 \)[/tex] and add 89 to both sides. The answer is 96."
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