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Daca x/y=4,atunci valoarea raportului x+y/2x-y este egal cu ??? Helppp

Răspuns :

Răspuns:

x/y=4 =>x=4y

x+y/2x-y=>4y+y/8y-y

5y/8y <=>5/8

 

[tex]\displaystyle\bf\\\frac{x}{y}=4\\\\\frac{x+y}{2x+y}=?\\\\\textbf{Simplificam fortat fractia cu y.}\\\\\frac{~~x+y^{(y}}{2x-y}=\frac{\dfrac{x+y}{y}}{\dfrac{2x-y}{y}}=\frac{\dfrac{x}{y}+\dfrac{y}{y}}{\dfrac{2x}{y}-\dfrac{y}{y}}=\frac{\dfrac{x}{y}+1}{2\cdot\dfrac{x}{y}-1}= \frac{4+1}{2\cdot4-1}=\boxed{\bf \frac{5}{7}}[/tex]