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Answer :
To solve the problem and find which equation correctly models the situation, let's break down the problem step-by-step.
The problem states: "The difference between [tex]\(x\)[/tex] and 89 is 7."
1. Understanding the Problem:
- "The difference between [tex]\(x\)[/tex] and 89 is 7" means that if you subtract 89 from [tex]\(x\)[/tex], the result should be 7.
2. Writing the Equation:
- Based on this understanding, the equation can be written as:
[tex]\[
x - 89 = 7
\][/tex]
3. Solving the Equation:
- To solve for [tex]\(x\)[/tex], you need to isolate [tex]\(x\)[/tex] on one side of the equation.
- Add 89 to both sides of the equation:
[tex]\[
x - 89 + 89 = 7 + 89
\][/tex]
- This simplifies to:
[tex]\[
x = 96
\][/tex]
4. Verifying the Option:
- The option that matches the equation we formed and solved is: "Write the equation as [tex]\(x - 89 = 7\)[/tex] and add 89 to both sides. The answer is 96."
Thus, the correct equation to model the problem is [tex]\(x - 89 = 7\)[/tex], and the solution is [tex]\(x = 96\)[/tex].
The problem states: "The difference between [tex]\(x\)[/tex] and 89 is 7."
1. Understanding the Problem:
- "The difference between [tex]\(x\)[/tex] and 89 is 7" means that if you subtract 89 from [tex]\(x\)[/tex], the result should be 7.
2. Writing the Equation:
- Based on this understanding, the equation can be written as:
[tex]\[
x - 89 = 7
\][/tex]
3. Solving the Equation:
- To solve for [tex]\(x\)[/tex], you need to isolate [tex]\(x\)[/tex] on one side of the equation.
- Add 89 to both sides of the equation:
[tex]\[
x - 89 + 89 = 7 + 89
\][/tex]
- This simplifies to:
[tex]\[
x = 96
\][/tex]
4. Verifying the Option:
- The option that matches the equation we formed and solved is: "Write the equation as [tex]\(x - 89 = 7\)[/tex] and add 89 to both sides. The answer is 96."
Thus, the correct equation to model the problem is [tex]\(x - 89 = 7\)[/tex], and the solution is [tex]\(x = 96\)[/tex].
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