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

1 answer

Since the equation of a line parallel to the y-axis has the form x = k, where k is a constant, all we need is the x-value of the point of intersection of your 2 lines.
From the 2nd, y = -3x
sub that into the first:
x - 7(-3x) + 5 = 0
22x = -5
x = -5/22 , that's it! All done.