[tex]Daca \frac{a}{b} + \frac{x}{y} = 25,8
si \frac{a}{b} = \frac{x}{5y}
rezulta \frac{x}{5y} + \frac{x}{y} =25,8[/tex]
Dam factor comun pe [tex] \frac{x}{y} [/tex] si obtinem
[tex]( \frac{x}{y} )( \frac{1}{4y} + 1)=25,8 rezulta \frac{1}{4y} + 1= \frac{25,8y}{x} [/tex]
Inmultim ecuatia cu [tex] \frac{1}{y} [/tex] si obtinem
[tex] \frac{1}{4y ^{2} } + \frac{1}{y} = \frac{25,8y}{xy} [/tex]
Simplificam y in partea dreapta a ecuatiei si obtinem
[tex] \frac{1}{4y ^{2}+y } = \frac{25,8}{x} [/tex]
