Respuesta :

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given equations are :

y-x = 3  ......(1)

xy = 10 or

x = (10/y) ....(2)

Put the value of x in equation (1).

[tex]y-\dfrac{10}{y}= 3\\\\y^2-10=3y\\\\y^2-3y-10=0\\\\y=0\ and\ y=5[/tex]

Put the value of y in equation (2).

[tex]x=\dfrac{10}{5}\\\\x=2[/tex]

So, the value of x is equal to 2 and that of y is equal to 5.