Question

solve the following equation and verify your answer 2x+3/1/3x-1 = 3/5

Answer 1

5(2x+3)=3(x/3-1)
10x+15=x-3
9x=-18
x=-2
verification
-4+3/-2/3-1 = -1/ -5/3 = 3/5

Answer 2

Answer:

The  value of x=-2.

Step-by-step explanation:

Given : Equation $\frac{2x+3}{\frac{1}{3}x-1}=\frac{3}{5}$

To find : Solve the equation and verify ?

Solution :

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

Cross multiply,

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

$10x+15=x-3$

$10x-x=-3-15$

$9x=-18$

$x=-\frac{18}{9}$

$x=-2$

The  value of x=-2.

Verification,

Substitute x is LHS,

$LHS=\frac{2(-2)+3}{\frac{1}{3}(-2)-1}$

$LHS=\frac{-4+3}{\frac{-2}{3}-1}$

$LHS=\frac{-1}{\frac{-2-3}{3}}$

$LHS=\frac{-1}{\frac{-5}{3}}$

$LHS=\frac{-1\times 3}{-5}$

$LHS=\frac{3}{5}$

$LHS=RHS$

Hence verified.