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 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) .

The equation of the straight line through the intersection of line 2x+y=1 and 3x+2y=5 passing through the origin, is:

Find the equation of the straight line passing through the point of intersection of 2x+y-1=0 and x+3y-2=0 and making with the coordinate axes a triangle of area 3/8 sq. units.

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 intersection of y+x=9 and 2x-3y+7=0 , and perpendicular to the line 2y-3x-5=0

Find the equation of the line through the intersection of y+x=9 and 2x-3y+7=0 , and perpendicular to the line 2y-3x-5=0 .

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

Find the straight line passing through the point of intersection of 2x+3y+5=0,5x-2y-16=0 , and through the point (-1,3) .

Find the equation of the line passing through the point of intersection of 2x-7y+11=0\ a n d\ x+3y-8=0\ and is parallel to i. x-axis ii. y-axis.

Find the equation of a line passing through the point of intersection of the lines x+y=4 and 2x-3y-1=0 and parallel to a line whose intercepts on the axes are 4 and 6 units.