x+3y = -4 ; 5x-7y=68

Solve, using the method of substitution 2x- 3y = 7, 5x + y = 9

Solve by cross-multiplication method 8x-3y = 12, 5x - 2y = 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 (a) 3x-4y=-35 (b) 5x-2y=7 (c) 3x+4y=35 (d) 2x-3y=7

Solve system of linear equations , using matrix method 5x+ 2y = 4 7x+3y =5

If (0, a) and (b, 0) are the solutions of the following linear equations. Find ‘a’ and ‘b’. (i)8x - y = 34 (ii) 3x = 7y - 21 (iii)5x - 2y + 3 = 0

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

3x-4y=-7,5x-2y=0

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

Find the equation of a straight line through the intersection of lines 3x+2y=10 and 5x-6y=2 and perpendicular to the line 4x-7y+13=0 .