Find the equation of the line through the point of intersection of `x+2y=5 and x-3y=7` and passing through the point `(0, -1)`

Find the equation of the lines passing through the point of intersection of x+2y=5 and x-3y=7 and passing through : (i) (1,0) (ii) (0,-1)

Find the equation of the line drawn through the point of intersection of the lines x-y=7 and 2x+y=2 and passing through the origin.

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

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

Find the equation of a line passing through the point of intersection of the lines 2x-7y+11=0 and x+3y=8 and passes through the point (2,-3) .

Find the equation of a line passing through point of intersection of lines x+2y+5 =0 and 3x+4y+1=0 and also passing through point (3,2) ?

Find the equation of the lines passing through the point of intersection of : 5x-3y=1 and 2x+3y=23 and perpendicular to the line whose equation is : (i) x-2y=3 (ii) y=0 (iii)x=0 (iv) 5x-3y=1 .

Find the equations of the lines through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0 whose distance from the point (3,2) is (7)/(5)

Find the equation of the line through the point of intersection of the lines 3x-4y+1=0 and 5x+y-1=0 and perpendicular to the line 2x-3y=10