Question

If (5x+3):(7x+3)=3:4, find the value of x.
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Answer 1

`\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

Answer 2

`\\ \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`