High School

We appreciate your visit to Solve the rational equation 3 x 3 x 7 3x 18 x 7 Options Option 1 1 Option 2 7 1 Option 3 5 2. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Solve the rational equation: 3/x+3/x−7 = 3x−18/x−7 Options: Option 1: {1} Option 2: {7,1} Option 3: {-5/2, 1/3} Option 4: {}

Answer :

Final answer:

To solve the rational equation, we eliminate the denominators and simplify to get 3x = 3. Dividing both sides by 3 gives x = 1.

Explanation:

To solve the rational equation: 3/x + 3/x - 7 = (3x - 18)/(x - 7), we start by eliminating the denominators. This can be done by multiplying both sides of the equation by x(x - 7). This gives us: 3(x - 7) + 3x = 3x - 18. Expanding and simplifying, we get: 3x - 21 + 3x = 3x - 18. Further simplifying, we have: 6x - 21 = 3x - 18. We solve for x by isolating the x term on one side of the equation: 6x - 3x = 21 - 18. This simplifies to: 3x = 3. Finally, we divide both sides of the equation by 3 to find: x = 1.

Learn more about Rational equations here:

https://brainly.com/question/34351944

#SPJ11

Thanks for taking the time to read Solve the rational equation 3 x 3 x 7 3x 18 x 7 Options Option 1 1 Option 2 7 1 Option 3 5 2. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Other Questions