Find the equation of the line through the itnersection of the lines 2x - y + 3 = 0 and x - 5 y +3 = 0 and passing through the pOint (8,5).

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0 and x-y+z+3=0 and passing through the origin.

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

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x - y + 7 = 0 and which is parallel to 5x - 4y - 20 = 0 .

Find the equation of the lines passing through the intersection of the lines : 3x+7y-7=0 and x-y+2=0 and with slope 5.

Find the equation of a line passing through the intersection of the lines 2x + 3y- 2 = 0 and x-2y + 1 = 0 and having x-intercept equal to 3.

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

Find the equations of the line through the intersection of 2x - 3y + 4 = 0 and 3x + 4y - 5= 0 and perpendicular to 6x-7y +c = 0

Find the equation of the circle whose centre is the point of intersection of the lines 2x-3y+4=0and3x+4y-5=0 and passes through the origin.