Question

match the given equation with the correct first step for solving it.
$\frac{2x+5}{x}+\frac{5}{x+5}=9$

choose the correct answer below.
a. let $u=(x+5)^{\frac{1}{3}}$ and $u^2=(x+5)^{\frac{2}{3}}$.
b. multiply each side of the equation by $x(x+5)$.
c. cube each side of the equation.
d. raise each side of the equation to the power $\frac{2}{5}$.
e. square each side of the equation.

Explanation:

Step1: Identify equation type

This is a rational equation with denominators $x$ and $x+5$.

Step2: Determine first step

To eliminate denominators, multiply all terms by the least common denominator (LCD), which is $x(x+5)$.

Answer:

B. Multiply each side of the equation by $x(x+5)$.