Question

Daca 3x-y/2x+y = 5/4, calculati x/y

Answer 1

$\frac{3x - y}{2x + y} = \frac{5}{4}$

$4(3x - y) = 5(2x + y)$

$12x - 4y = 10x + 5y$

$12x - 10x = 5y + 4y$

$2x = 9y \: | \div y$

$\frac{2x}{y} = 9$

$2 \times \frac{x}{y} = 9 \: | \div 2$

$\frac{x}{y} = \frac{9}{2}$

$\frac{x}{y} = 4.5$