### 2.52.6 Linear system solving: `linsolve`

`linsolve` is used to solve a system of linear equations.
`linsolve` has two arguments: a list of equations or expressions (in that case the convention is that the equation is expression = 0), and a list of variable names.
`linsolve` returns the solution of the system in a list.
Input :

`linsolve([2*x+y+z=1,x+y+2*z=1,x+2*y+z=4],[x,y,z])`

Output :

`[1/-2,5/2,1/-2]`

Which means that

x=−

1
2

, y=

5
2

, z=−

1
2

is the solution of the system :

⎧
⎪
⎨
⎪
⎩

2x+y+z | =1
x+y+2z | =1
x+2y+z | =4