If the system of linear equations given by x+y+z=3,2 x+2 y-z=3, x+y-z=1 is consistent and if (x₀, y₀, z₀ ) is a solution, then 2 x₀+2 y₀+z₀=

Step-by-step solution

In consistent adding Eqs. (i) and (iii), we get 2 x+2 y=4 x+y=2 put in Eq. (i) 2+z=3 z=1 Then, aligned & 2 x₀+2 y₀+z₀ & =2 (x₀+y₀ )+z₀ & =2 2+1 [ x+y=2 x₀+y₀=2 ] & =5 aligned