Question
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Solve the following equation. \( 3 x-9=0 \) Select the correct choice below and, if necessary, fill in the answer box. A. The solution is (Type an integer or a simplified fraction.) B. The solution set is \( (-\infty, \infty) \). There is no solution.

Ask by Vaughan Santiago. in the United States
Feb 27,2025

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Tutor-Verified Answer

Answer

The solution is 3.

Solution

To solve the equation 3x - 9 = 0: 1. Add 9 to both sides: 3x = 9. 2. Divide both sides by 3: x = 3. So, the correct choice is: A. The solution is 3.

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Simplify this solution

Mind Expander

To solve the equation \(3x - 9 = 0\), we can start by isolating \(x\). First, add 9 to both sides of the equation: \(3x = 9\) Next, divide both sides by 3 to get: \(x = 3\) So, the solution is: A. The solution is 3. Now, let's have some fun with a bit of historical context and practical application of solving equations! Throughout history, equations like this have captivated mathematicians since ancient times, with cultures such as the Babylonians already solving linear equations over 4,000 years ago. They laid the groundwork for future math, showing us just how global and timeless the love for problem-solving is. In today's world, understanding how to solve linear equations isn’t just an academic exercise; it’s a vital skill used in various fields like finance, engineering, and computer science. For example, if you’re budgeting your monthly expenses, linear equations help you figure out how to balance your income against your bills. So, next time you tackle a simple equation, remember: you’re part of a long-standing tradition that’s all about turning numbers into solutions!

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