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

1.

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

Answer»

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.

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