Question

X+10y+z=6, 10x+y+z=6, x+y+10z=6

Answer 1

Answer:

x = y = z = 1/2 or 0.5

Given,

X+10y+z=6, i

10x+y+z=6, ii

x+y+10z=6 iii

Solve equation I & ii

X + 10y+z=6,

10x+ y +z=6,

- - - = -

-9x + 9y = 0

y - x = 0

y = x

x+ y+10z=6

X+10y+z =6

- - - = -

-9y + 9z = 0

z - y = 0

y = z

Now,

x= y = z So, put in equation (I)

x + 10x + x = 6

12x = 6

x = 1/2

x = y = z = 1/2