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Answer :
To solve this problem, we're looking for an equation that accurately models the statement: "The difference between [tex]\(x\)[/tex] and 89 is 7."
The correct approach is to recognize that the word "difference" implies subtraction. So the equation that represents this situation is [tex]\(x - 89 = 7\)[/tex]. Here's how you solve it step-by-step:
1. Identify the Equation: We start with the equation [tex]\(x - 89 = 7\)[/tex].
2. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to eliminate the [tex]\(-89\)[/tex] by doing the opposite operation, which is addition.
3. Add 89 to Both Sides:
[tex]\[
x - 89 + 89 = 7 + 89
\][/tex]
4. Simplify:
[tex]\[
x = 96
\][/tex]
So, the equation [tex]\(x - 89 = 7\)[/tex] and the corresponding solution ([tex]\(x = 96\)[/tex]) correctly model and solve the problem.
The correct approach is to recognize that the word "difference" implies subtraction. So the equation that represents this situation is [tex]\(x - 89 = 7\)[/tex]. Here's how you solve it step-by-step:
1. Identify the Equation: We start with the equation [tex]\(x - 89 = 7\)[/tex].
2. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to eliminate the [tex]\(-89\)[/tex] by doing the opposite operation, which is addition.
3. Add 89 to Both Sides:
[tex]\[
x - 89 + 89 = 7 + 89
\][/tex]
4. Simplify:
[tex]\[
x = 96
\][/tex]
So, the equation [tex]\(x - 89 = 7\)[/tex] and the corresponding solution ([tex]\(x = 96\)[/tex]) correctly model and solve the problem.
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