7x+3y=15;12y-5x=39

{:("Column A", 7x + 3y = 12","3x + 7y = 8 , "Column B"),(x-y,,1):}

Find the equation of a straight line through the intersection of lines 7x+3y=10, 5x-4y=1 and parallel to the lines 13x+5y+12=0 .

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : (i) 6x+14y-16=0 , 12x+28y-32=0 (ii) 3x-4y=8 , 3x+4y=11 (iii) 5x-2y=7 , 2y-5x=-7 (iv) 4x+7y=19 , 7x-4y=-2 (v) x-2y=7 , 4y-2x=13

Solve by cross-multiplication method. (i) 8x-3y=12,5x=2y +7 (ii) 6x+ 7y -11 =0, 5x+ 2y =13 (iii) (2)/(x)+(3)/(y) =5, (3)/(x) -(1)/(y) +9=0

The equation of a line which is parallel to the line common to the pair of lines given by 6x^2-x y-12 y^2=0 and 15 x^2+14 x y-8y^2=0 and at a distance of 7 units from it is 3x-4y=-35 5x-2y=7 3x+4y=35 2x-3y=7

The equation of a line which is parallel to the line common to the pair of lines given by 6x^2-x y-12 y^2=0 and 15 x^2+14 x y-8y^2=0 and at a distance of 7 units from it is 3x-4y=-35 5x-2y=7 3x+4y=35 2x-3y=7

Solve this pair of equation and find x and y ; 7x-15y=2, x+2y=3