Question

the following rational equation has denominators that contain variables. for this equation, a. write the value or values of the keeping the restrictions in mind, solve the equation.
\\(\frac{5x}{x + 1}=2 - \frac{5}{x + 1}\\)

a. what are the value or values of the variable that makes the denominators zero?
x = \\(square\\)
(simplify your answer. use a comma to separate answers as needed.)

Explanation:

Step1: Identify Denominators

The denominators in the equation are \( x + 1 \) (appears twice).

Step2: Set Denominator to Zero

To find the value that makes the denominator zero, solve the equation \( x + 1 = 0 \).

Step3: Solve for x

Subtract 1 from both sides: \( x = -1 \).

Answer:

\( x = -1 \)