Question

Select the correct answer.

What is the solution to this rational equation?
24
x-8
= 4
OA.
x = 14
OB.
x = 4
OC. x=2
OD. x = -2

Answer 1

The solution to the rational equation is x = 14.

Step-by-step explanation:

To find the solution to the rational equation, we need to isolate the variable x. We can start by multiplying both sides of the equation by (x-8) to eliminate the denominator. This gives us 24 = 4(x-8).

Next, distribute 4 to both terms inside the parentheses: 24 = 4x - 32.

Then, we can isolate the variable on one side by adding 32 to both sides to get 56 = 4x. Lastly, divide both sides by 4: x = 14.

Therefore, the solution to the rational equation is x = 14.

Learn more about Solving rational equations