Question

stiind ca x supra y = cu 2 supra 3. calculati 6x+y supra x+3y

Answer 1

$\frac{x}{y}= \frac{2}{3} => \frac{x}{2} =\frac{y}{3}=k \\ din \frac{x}{2}=k=> x=2k \\ din \frac{y}{3}=k => y=3k \\ \frac{6x+y}{x+3y}= \frac{6*2k+3k}{2k+3*3k}= \frac{12k+3k}{2k+9k} = \frac{15k}{11k}= \frac{15}{11}$