Question

solve the following equation and check your answers: 2x+1/3x-2= 9/10​

Answer 1

2x+1/3x-2 = 9/10

10(2x+1) = 9(3x-2)

20x+10 = 27x-18

20x-27x = -18-10

-7X = -28

7x = 28

x= 4

Answer 2

Corrected Question :

• Solve the following equation and check your answers : ${\sf{\dfrac{2x + 1}{3x - 2} = \dfrac{9}{10}}}$

A N S W E R :

• x = 4

S O L U T I O N :

:$\implies$${\sf{10\bigg(2x + 1\bigg) = 9\bigg(3x - 2\bigg)}}$

:$\implies$${\sf{20x + 10 = 27x - 18}}$

:$\implies$${\sf{20x - 27x = -18 -10}}$

:$\implies$${\sf{-7x = -28}}$

:$\implies$${\sf{x = \dfrac{28}{7}}}$

:$\implies$${\sf{x = \cancel{\dfrac{28}{7}}}}$

:$\implies$${\underline{\boxed{\frak{\pink{x = 4}}}}}$★

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}$

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