find an equation system for which these vectors is it solutions

(1,0,1)

(2,-1,0)

(0,-1,-2)

(1,1,3)

i tried:

i can guess (x+2y+0*z+t,0*x -y-z+t,x+0-2*z +3*t)=x(1,0,1) +y(2,-1,0) +z(0,-1,-2)+t(1,1,3)

but what i got is a big vector

how i get the equations?