[" (1) "3a+5b=26" ,"a+5b=22],[" (2) "2x-3y=9" ,"2x+y=13]

" (3) "2x-3y=9;2x+y=13

2x+3y=5 6x+9y=10

2x-y-5=0; x+3y-9=0

If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , y=1 (b) x=2 , y=3 (c) x=2 , y=4 (d) x=3 , y=3

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

Find the values of a and b for which the following pair of equations have infinitely many solutions: (i) 2x + 3y = 7 and 2ax + ay =28-by (ii) 2x + 3y =7, (a-b) x + (a +b) y= 3a + b-2 (iii) 2x - (2a + 5) y =5, (2b +1) x - 9y =15

Factorise: 5a (2x -3y) + 2b (2x -3y)

If the point P(x ,\ y) is equidistant from A(5,\ 1) and B(-1,\ 5) , then (a) 5x=y (b) x=5y (c) 3x=2y (d) 2x=3y

On comparing the ratios (a_1)/(a_2),(b_1)/(b_2) and (c_1)/(c_2) , find out whether the following pair of linear equations are consistent, or inconsistent. (i) 3x+2y=5; 2x-3y = 7 (ii) 2x-3y=8 ; 4x-y=9 (iii) 3/2x+5/3y=7 ; 9x-10y=14 (iv) 5x-3y=11 ; -10x+6y = -22 (v) 4/3 x +2y=8 ; 2x+3y = 12