Question

solve the equation and verify your answer, x-2/6x+1=1

Answer 1

Hey !!


X - 2 / 6X + 1 = 1


X - 2 = 6X + 1



6X - X = -2 - 1


5X = -3

X = -3/5.



Verification :-


X - 2 / 6X + 1 = 1



-3/5 - 2 / 6 × -3/5 + 1 = 1




-3 - 10 / 5 / - 18 /5 + 1 = 1



-13 /5 / -18 + 5/ 5 = 1



-13/5 / -13 / 5 = 1


-13/5 × 5 / -13 = 1



1 = 1


LHS = RHS.

Hence,

X = -3/5

Answer 2

Hey!!


$\frac{x - 2}{6x + 1} = 1 \\ \\ = > x - 2 = 6x + 1 \\ \\ = > x - 6x = 1 + 2 \\ \\ = > - 5x = 3 \\ \\ = > x = \frac{ - 3}{5}$


Verification


$\frac{x - 2}{6x + 1} = 1$

Put x = -3 / 5

$= > \frac{ \frac{ - 3}{5} - 2 }{6( \frac{ - 3}{5} ) + 1} = 1 \\ \\ = > \frac{ \frac{ - 3 - 10}{5} }{ \frac{ - 18}{5} + 1 } \\ \\ = > \frac{ \frac{ - 13}{5} }{ \frac{ - 18 + 5}{5} } \\ \\ = > \frac{ \frac{ - 13}{5} }{ \frac{ - 13}{5} } \\ \\ = > 1 = 1$

LHS = RHS

Hence, it is verified



Hope it will helps you!