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If (5x+3):(7x+3)=3:4, find the value of x.


User Jatawn
by
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2 Answers

7 votes


\large\rm \longrightarrow \: {\purple{ ((5x + 3))/((7x + 3)) \: = \: (3)/(4) }} \\

Now , Cross Multiplying


\large\rm \longrightarrow \: {\blue{ 4 \: (5x + 3) \: = \: 3 \: (7x + 3)}}


\large\rm \longrightarrow \: {\red{ 20x \: + \: 3 \: = \: 21 \: + \: 3}}


\large\rm \longrightarrow \: {\orange{ 12 \: - \: 9 \: = \: 21x \: - \: 20x }}


\large\rm \longrightarrow \:{\green{ 3 \: = \: x}}

Hence , the value of x is 3

User Hiro
by
8.3k points
4 votes


\\ \sf\longmapsto (5x+3)/(7x+3)=(3)/(4)


\\ \sf\longmapsto 4(5x+3)=3(7x+3)


\\ \sf\longmapsto 20x+12=21x+9


\\ \sf\longmapsto 12-9=21x-20x


\\ \sf\longmapsto x=3

User Mikal
by
8.0k points

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