Question

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

Answer 1

Răspuns:

$\frac{50y+x}{2x}$

Explicație pas cu pas:

$\frac{x}{y} =5,\\ x=5y,\\y=\frac{x}{5}$

$\frac{2x+y}{2y} =\frac{2(5y)+\frac{x}{5}}{2(\frac{x}{5}) }=\frac{10y+\frac{x}{5} }{2(\frac{x}{5}) } =\frac{10y+\frac{x}{5} }{\frac{2x}{5} } =\frac{\frac{50y+x}{5} }{\frac{2x}{5} }=\frac{(50y+x)*5}{5x*2} =\frac{50y+x}{x*2} =\frac{50y+x}{2x}$