Question

observe as seguintes situações e sua representação em linguagem matematica dois numeros x e y são tais 2x y=6 x-y=3

Answer 1

The value of x any y are "-5.29 and 0.79" and "3.79 and -2.29"

Explanation:

Given values:

`2xy =6.....(a)\\\\x-y= 3.....(b)\\\\`

After solve equation (a) we get

`\ equation: \\\\2xy= 6\\\\xy =(6)/(2) \\\\xy = 3.....(x)\\\\`

After solve equation (b) we get

`\ equation: \\\\x-y =3\\\\x= 3+y....(x1)\\`

put the value of x in to equation (x)

`(3+y)y = 3\\`

`y^2+3y-3=0\\\\\ compare \ the \ value \ with \ ay^2+by+c=0\\a= 1\\b=3\\c=-3\\\ Formula: \\y= (-b\pm√(b^2-4ac))/(2a)\\y= (-3\pm √(9+12))/(2)\\y= (-3\pm √(21))/(2)\\`

The value of y is = -5.29 and 0.79, put the value of y in x1 equation so, we get: 3.79 and -2.29