Find the intersection point of the lines `2x-3y=1` and `5y-4x+3=0`

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

Find the length of the perpendicular from the point 4, -7) to the line joining the origin and the point of intersection of the lines 2x-3y+14=0 and 5x+4y-7=0 .

The equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and

Find the length of the perpendicular draw from the point (4,7) upon the straight line passing through the origin and the point of intersection of the lines 2x-3y+14=0 and 5x+4y=7

Find the equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and which is perpendicular to the line x+2y+1=0.

Find the equation of the line passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0 .

Find the equation of a straight line through the point of intersection of the lines 4x-3y=0\ a n d\ 2x-5y+3=0 and parallel to 4x+5y+6=0.

The equation of a line passing through the point if intersection of the lines 4x-3y -1 =0 and 5x -2y -3 =0 and parallel to the line 2y -3x + 2 = 0 is