Question

Solve the equation:
2x+1/3x-2=5/9

Answer 1

Answer:

2x+1 = 5

3x-2 9

9(2x+1)=5(3x-2)

18x+9=15x-10

18x-15x=-10-9

3x = -19

x = -19

3

Answer 2

Answer:

∴ The value of $x$ in equation $\frac{2x+1}{3x-2} = \frac{5}{9}$ is $\frac{-19}{3}$.

Step-by-step explanation:

In context to question asked,

• We have to find the value of $x$ in given equation, $\frac{2x+1}{3x-2} = \frac{5}{9}$
• To find the value of $x$, solve the given equation by cross multiplication.
• Now, the equation is,

         $\frac{2x+1}{3x-2} = \frac{5}{9}$

• By cross multiplication, we get

       $9(2x+1)=5(3x-2)$

• Opening the bracket, we get

       $18x+9=15x-10$

• Now, collect the terms with variable at one side and constant terms at another side, we get

      ∴ $18x-15x=-10-9$

               ∴ $3x=-19$

               ∴ $x=\frac{-19}{3}$

• ∴ The value of $x$ in equation $\frac{2x+1}{3x-2} = \frac{5}{9}$ is $\frac{-19}{3}$.