Question

2x/3x+1=1/3
what is x

Answer 1

Answer:

solate the variable by dividing each side by factors that don't contain the variable.

x=i,-i

Step-by-step explanation:

Answer 2

$\sf \bf {\boxed {\mathbb {GIVEN:}}}$

♨$\:\frac{2x}{3x + 1} = \frac{1}{3}$

$\sf \bf {\boxed {\mathbb {TO\:FIND:}}}$

The value of $x$.

$\sf \bf {\boxed {\mathbb {SOLUTION:}}}$

$↬ \frac{2x}{3x + 1} = \frac{1}{3}$

$↬2x \times 3 = 1(3x + 1)$

$↬6x = 3x + 1$

$↬6x - 3x = 1$

$↬3x = 1$

$↬x = \frac{1}{3}$

Therefore the value of $x$ is $\boxed{ \frac{1}{3} }$.

$\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}$

$:⟼   \frac{2 \times \frac{1}{3} }{3 \times \frac{1}{3} + 1 } = \frac{1}{3}$

$:⟼   \frac{ \frac{2}{3} }{ \frac{3}{3} + 1 } = \frac{1}{3}$

$:⟼   \frac{ \frac{2}{3} }{1 + 1} = \frac{1}{3}$

$:⟼   \frac{ \frac{2}{3} }{2} = \frac{1}{3}$

$:⟼   \frac{2}{3 \times 2} = \frac{1}{3}$

$:⟼   \frac{1}{3} = \frac{1}{3}$

:⟼  L. H. S. = R. H. S.

Hence verified. ☑

$\sf\red{Happy\:learning!}$