Math, asked by HarmanJha, 3 months ago

Solve it by cross multiplaction :-

 \frac{2x \:  + 1}{3x \:  -  \: 2}  \:  =  \:  \frac{9}{10}

Answers

Answered by anshudalal23
0

Answer:

x=4

Step-by-step explanation:

2x + 1 /3x-2  =   9   /10

 

⇒ 20 x + 10 = 27x - 18 ( by cross multiplication)

⇒ 20x-27x = -18 -10

⇒ -7x = -28

⇒ x =  - 28/-7  =  4  

               

Hence, x = 4

Answered by thebrainlykapil
80

\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}

 \frac{2x \: + 1}{3x \: - \: 2} \: = \: \frac{9}{10}

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\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}

\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold{\:\frac{2x \: + 1}{3x \: - \: 2} \: = \: \frac{9}{10} }} }\\ \\\end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}{:} \longrightarrow \displaystyle \sf \: 10  \times  \: ( \: 2x  \: + \:  1) \:  =  \: 9 \times \:  ( \: 3x \:  -  \: 2)  \\ \\ \\\end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}{:} \longrightarrow \displaystyle  \sf \: 20x \:  +  \: 10 \: =  \: 27x \:  -  \: 18   \\ \end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}{:} \longrightarrow \displaystyle  \sf \: 20x \:  -  \: 27x \: =  \: -10\:  -  \: 18   \\ \end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}{:} \longrightarrow \displaystyle  \sf \: -7x \: =  \: -28   \\ \end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}{:} \longrightarrow \displaystyle  \sf \: x \: =  \:   \frac{ \cancel{ - } \: \: \cancel{ 28 } }{ \cancel{ - } \: \: \cancel{ 7 } }   \\ \end{gathered}\end{gathered}

\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{x \: = \:  4  }}}

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\large\underline{ \underline{ \sf \maltese{ \: Verification:- }}}

\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \:\frac{2x \: + 1}{3x \: - \: 2} \: = \: \frac{9}{10} \\ \\ \\\end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \:  \frac{2 \: × 4 \: +\: 1}{3\:× \: 4 \: - \: 2 } \:  =  \:  \frac{9}{10}  \\ \\ \\\end{gathered}\end{gathered}

\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \:  \frac{ 8 \: + \: 1 }{12 \: - \: 2 }  \: =  \:  \frac{9}{10} \\ \\ \\\end{gathered}\end{gathered}

\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ \:\frac{9}{10} = \:    \frac{9}{10}  }}}

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Hence, Proved

\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Value \:of \: x= \underline {\underline{ x \:  =   \:    4}}}\\\end{gathered}\end{gathered}

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