Prove that the points of intersection of the line `x-y=2` with the parallel lines `2x+y=7 and 2x+y=16` are on the opposite sides of the line `x+y=5`.

Find the point of intersection of the line 5x+7y=3 and 2x-3y=7

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

What are the coordinates of the point of intersection of the lines x+3y=7 and 2x+y=-1 ?

Find the point of intersection of the following pairs of lines: 2x-y+3=0 and x+y-5=0

What is the point of intersection of the lines 2x + 3y = 5 and 3x - 4y = 10?

Let A be the point of intersection of the lines 3x 2y = 14 , 5x – y = 6 and B be the point of intersection of the lines 4x 3y = 8 , 6x y = 5 . The distance of the point P(5, –2) from the line AB is

The distance of the point of intersection of the lines 2x-3y+5=0 and 3x+4y=0 from the line 5x-2y=0 is

If P is a point (x,y) on the line y=-3x such that P and the point (3,4) are on the opposite sides of the line 3x-4y=8, then

Show that the lines x+7y=23 and 5x+2y=16 interest at the point (2,3)