Question

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.

Answer 1

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 obtain x= - 5/22 and y= 15/22

therefor, [5/22  , 15/22] is the point of intersection of lines (2) and (3).