Question

if 3x+4y:5x-3y=5:3then x:y=​

Answer 1

Answer:

27:16

Step-by-step explanation:

$\implies$ $\sf{3x+4y:5x-3y=5:3 }$

$\implies$ $\sf{{\Large\frac{3x+4y}{5x-3y}}={\Large\frac{5}{3}} }$

$\implies$ $\sf{3(3x+4y)=5(5x-3y) }$

$\implies$ $\sf{9x+12y=25x-15y }$

$\implies$ $\sf{12y+15y=25x-9x }$

$\implies$ $\sf{27y=16x }$

$\implies$ $\sf{{\Large\frac{x}{y}}={\Large\frac{27}{16}} }$

$\implies$ $\boxed{\sf{x:y=27:16 }}$

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