71.0k views
5 votes
Solve the rational equation. If the equation has no solution, so state. (4)/(x+7) = (2)/(x-7)

User Tuomassalo
by
8.0k points

1 Answer

4 votes

Final answer:

This solution demonstrates the step-by-step process for solving the given rational equation. The equation is simplified by cross-multiplying to eliminate fractions and then solving for x. The conclusion is that x equals 21.

Step-by-step explanation:

The subject of this question is a rational equation. To solve the equation (4)/(x+7) = (2)/(x-7), we first cross-multiply to remove the fractions:

4*(x-7) = 2*(x+7) Then we simplify the equation: 4x - 28 = 2x + 14

Let's subtract 2x from both sides:

2x - 28 = 14

Adding 28 to both sides gives:

2x = 42

Finally, we divide both sides by 2 to isolate x:

x = 21

Hence, the solution to the equation is x = 21.

Learn more about Solving Rational Equations

User Shima
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.