Question

×/y=2/5 ; y-x=9 rezulta= x=?, y=?. Va rog​

Answer 1

=> x=-9+y

=>$\frac{-9+y}{y}$=$\frac{2}{5}$

5(-9+y)=2y

-45+5y=2y

5y-2y=45

3y=45

y=15

x=-9+15

x=6

=> (x,y)=(6,15)

Answer 2

Răspuns:

Explicație pas cu pas:

x/y = 2/5 =>  5 x = 2 y ->  produsul mezilor = produsul extremilor

=> x/2 = y/5 = k ->  coeficient de proportionalitate

=> x = 2 k  si y = 5 k

_______________

y - x = 9

5 k - 2 k = 9

3 k = 9

k = 9 : 3    =>  k = 3

________________

x = 2 k = 2 × 3  =>   x = 6

y = 5 k = 5 × 3  =>   y = 15