Answer:
the ordered triple of these equations will be:
(x, y, z) = (6, 1, 5)
Step-by-step explanation:
Given the equations
[tex]x + y + z = 12[/tex]
[tex]y=1[/tex]
[tex]x - y - z = 0[/tex]
As
[tex]y=1[/tex]
We can get the value of x by adding the first and third equation
so
[tex]x + y + z = 12[/tex]
[tex]x-y-z=0[/tex]
so the equations become
[tex]x+x+y-y+z-z=12+0[/tex]
[tex]2x = 12[/tex]
[tex]x = 6[/tex]
Putting x = 6 and y=1 in the first equation [tex]x+y+z=12[/tex]
[tex]6 + 1+ z = 12[/tex]
[tex]7 + z = 12\\z = 12 -7[/tex]
[tex]z = 5[/tex]
Therefore, the ordered triple of these equations will be:
(x, y, z) = (6, 1, 5)
