Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0.

The equation of any line parallel to the y – axis is of the form

x = a -------- (1)

The two given lines are

x – 7y + 5 = 0 ---------(2)

3x + y = 0 ------- (3)

On solving equations (2) and (3), we get,

Thus,

is the point of intersection of lines (2) and (3).

Since, line x = a pass through point a =

Therefore, the required equation of the line is x =