$x = 4 - 2s + 3t, y = s, z = t$

$x = 2 - s + t, y = s, z = t$

$x = 8 - 4s + 6t, y = s, z = t$

$(x, y, z) = (1, 0, 0) + s(2, 1, 0) + t(3, 0, 1)$