Question

please answer fast its urgent ​

Answer 1

y = 16/7

Answer:

We have,

$\Large{ \longmapsto \frac{2y + 1}{3y + 8} = \frac{3}{8} }$

$\Large{ \Rightarrow 8( 2y + 1 ) = 3( 3y + 8 )}$———————[ by cross-multiplication ]

$\Large{ \Rightarrow 16y + 8 = 9y + 24}$———————[ by opening the brackets ]

$\Large{ \Rightarrow 16y - 9y = 24 - 8}$———————[ by rearranging the like terms to one side ]

$\Large{ \Rightarrow (16 - 9)y = 24 - 8}$———————[ by taking out common terms ]

$\Large{ \Rightarrow 7y = 16}$———————[ by simplifying ]

$\Large{ \Rightarrow y = \frac{16}{7} }$———————[ extracting the value of y ]

Answer 2

$\sf{\red{\boxed{\huge{Solution}}}}$

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$\sf: \implies\: {\bold{\dfrac{2y+1}{3y+8} = \dfrac{3}{8}}}$

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$\sf: \implies\: {\bold{ 8 {(2y + 1)} = 3 ({3y + 8} )}}$

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$\sf: \implies\: {\bold{ 16y + 8 = {9y + 24}}}$

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$\sf: \implies\: {\bold{ 16y - 9y = { 24 - 8 }}}$

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$\sf: \implies\: {\bold{ 7y = {16}}}$

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$\sf: \implies\: {\bold{ {y} = \dfrac{16 }{7}}}$

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