Question

if (3x+2y):(2x+5y)=12:19 find x:y​

Answer 1

Answer:

$x:y=2:3$

Step-by-step explanation:

$(3x+2y):(2x+5y)=12:19 \\ \frac{3x + 2y}{2x + 5y} = \frac{12}{19} \\ cross \: multiply \\ 19(3x + 2y) = 12(2x + 5y) \\ 57x + 38y = 24x + 60y \\ 57x - 24x = 60y - 38y \\ 33x = 22y \\ \frac{x}{y} = \frac{22}{33} \\ \frac{x}{y} = \frac{2}{3} \\ x:y=2:3$

Answer 2

Answer:

x:y = 2:3

Step-by-step explanation:

$\frac{3x + 2y}{2x + 5y} = \frac{12}{19} \\ 57x + 38y = 24x + 60y \\ 33x = 22y \\ \frac{x}{y} = \frac{2}{3} \\ x:y = 2:3$

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