Question

Stiind ca 12x minus 5y supra 3x este egal cu 2 supra 3 ,calculati x supra y si.

Answer 1

$\frac{12x - 5y}{3x} = \frac{2}{3} \\ \\\text{ domeniul\: de\: definitie : } \\ 3x \not= 0 \\ x\not = 0 \\ \text{stim \: ca }x\not = 0\text{ \: deci \: putem \: simplifica} \\ \iff \: \frac{12x - 5y}{x} = 2 \\ \\ 12x - 5y = 2x \\ 12x - 2x = 5y \\ 10x = 5y \\ 2x = y \\ \implies \: \boxed{\frac{x}{y} = \frac{1}{2} }$