x = var('x')
y = var('y')
z = var('z')
vx = var('vx')
vy = var('vy')
vz = var('vz')
t1 = var('t1')
t2 = var('t2')
t3 = var('t3')
eq1 = 197869613734967 == x + (vx-150)*t1
eq2 = 292946034245705 == y + (vy-5)*t1
eq3 = 309220804687650 == z + (vz+8)*t1
eq4 = 344503265587754 == x + (vx+69)*t2
eq5 = 394181872935272 == y + (vy-11)*t2
eq6 = 376338710786779 == z + (vz+46)*t2
eq7 = 293577250654200 == x + (vx+17)*t3
eq8 = 176398758803665 == y + (vy-101)*t3
eq9 = 272206447651388 == z + (vz-26)*t3
solutions = solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8,eq9],x,y,z,vx,vy,vz,t1,t2,t3)
solutions[0][0]+solutions[0][1]+solutions[0][2]