x/ y=5( nr nenule).Calculati: 2x+y supra 2y​

Răspuns :

Răspuns:

[tex]\frac{50y+x}{2x}[/tex]

Explicație pas cu pas:

[tex]\frac{x}{y} =5,\\ x=5y,\\y=\frac{x}{5}[/tex]

[tex]\frac{2x+y}{2y} =\frac{2(5y)+\frac{x}{5}}{2(\frac{x}{5}) }=\frac{10y+\frac{x}{5} }{2(\frac{x}{5}) } =\frac{10y+\frac{x}{5} }{\frac{2x}{5} } =\frac{\frac{50y+x}{5} }{\frac{2x}{5} }=\frac{(50y+x)*5}{5x*2} =\frac{50y+x}{x*2} =\frac{50y+x}{2x}[/tex]