Question

Solve it by cross multiplaction :-

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

Answer 1

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

Answer 2

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

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

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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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