Question

X+y+z=6 xy+yz=9 xz=2 señalar las suma de valores de x

Answer 1

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Answer 2

Answer:

x = 2,1 , y = 3 , 3 , z = 1, 2.

Step-by-step explanation:

x + y + z = 6                       ......(1)

xy + yz = 9                         ......(2)

xz = 2                                 ......(3)

from equation (1)

x + z = 6 - y                       .......(4)

from equation (2)

y(x+z) = 9

put the value of equation (4)

y(6-y) = 9

y2 - 6y + 9 = 0

y2 - 3y - 3y + 9 = 0

y = 3 , 3

put the value of y in equation 2

x + z = 3                          .......(5)

xz = 2

x = 2/z                            

put above value in equation 5

2/z + z =3

z2 - 3z +2 = 0

z2 - 2z - z +2 = 0

z(z - 2) - 1(z - 2) = 0

z = 1 , 2

put the value of z in equation (5)

x + z = 3

z = 1

x = 3-1

x = 2

put z = 2

x = 3-2

x = 1