Question

55 DE PUNCTE SI COROANA CLASA 6
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$\frac{5 x + 3y}{2x + 3y} = \frac{58}{34} \: \: aflati \: \: \frac{x}{y}$

Answer 1

$\frac{5x + 3y}{2x + 3y} = \frac{58}{34} \\ 34(5x + 3y) = 58(2x + 3y) \\ 170x + 102y = 116x + 174y \\ 170x - 116x = 174y - 102y \\ 54x = 72y \\ \frac{x}{y} = \frac{72}{54} \\ \frac{x}{y} = \frac{4}{ 3}$

Answer 2

34(5x+3y)=58(2x+3y)

170x+102y=116x+174y

170x-116x=174y-102y

54x=72y / :18

3x=4y

x/y=4/3