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 =