Question

X supra 7= y supra 3 = z supra 1
8x-5y=2
calculati x * y* z
repede!!!!

Answer 1

Sper ca te-am ajutat :)

Answer 2

 [tex]\frac{x}{7}=\frac{y}{3}=\frac{z}{1}=\,...\,k\;\Rightarrow\;\;x=7k\;;\;y=3k\;;\;z=k\;\\ inlocuim\;aceste \;valori\;in egalitatea:\;8\cdot(7k)\,-\,5\cdot(3k)=2\;\\
si\;obtinem:\;\;56k-15k=2\;\;\rightarrow\;\;\;41k\,=\,2\;deci\;\;\;\;\fbox{k=2/41}\\
x*y*z=(7*2/42)*(3*2/42)*2/42==14/42*6/42*2/42=\\
=1/3*1/7*1/21=1/21^2=\underline{\underline{1/441}}[/tex]