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erastova [34]
3 years ago
5

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

Mathematics
2 answers:
Yakvenalex [24]3 years ago
6 0

\\ \sf\longmapsto \dfrac{5x+3}{7x+3}=\dfrac{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

RoseWind [281]3 years ago
3 0

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

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