Find the equation of the line through point `(1,2,3)` and parallel to line `x-y+2z=5,3x+y+z=6`

Find the equation of the line through point (1,2,3) and parallel to line x-y+2z5,3x+y+z=6 .

Find the equation of the line through point (1,2,3) and parallel to plane x-y+2z=5,3x+y+z=6

Obtain the equation of the line through the point (1, 2, 3) and parallel to the line x-y+2z-5=0 , 3x+y+z=-6

Find the equations of the line through the point (1,2,4) and parallel to the line 3x+2y-z=4, x-2y-2z=5.

Find the equation of the line through the point (1, -2, 1) and parallel to the line x/2 = (y - 1)/-1 = (z + 2)/3 .

Find the equation of the line through the point (2, 3, 5) and parallel to the line (x - 3)/2 = (y + 1)/1 = (z + 7)/4 .

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6.

Find the equations of the line passing through the point (1,-2,3) and parallel to the line (x-6)/(3) =(y-2)/(-4) =(z+7)/(5) Also find the vector form of this equations so obtained .