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Show that the lines (x+1)/3=(y+3)/5=(z+5...

Show that the lines `(x+1)/3=(y+3)/5=(z+5)/7` and `(x-2)/1=(y-4)/3=(z-6)/5` intersect. Also find the their point of intersection.

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Given:
`frac{x+1}{3}=frac{y+3}{5}=frac{z+5}{7}=lambda`( { say })
`x=3 lambda-1, y=5 lambda-3` and ` z=7 lambda-5`
So, the coordinates of a general point on this line are `(3 lambda-1,5 lambda-3,7 lambda-5)`.
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