[" (i) "x+y=5,,2x+2y=10],[" (ii) "x-y=8,,3x-3y=16]

3x-2y=3,2x+y=16

5x-3y=8,3x+y=2 .

3x+2y=8 2x-3y=8

2x-3y=14,5x+2y=16

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 the following simultaneous equations : (i) x+y=7, x-y=5 (ii) x+y=10, x-y=16. (iii) 3x+y=14, x-y=2.

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

2x+3y=8 4x-5y=-6

(a) 2x+y=5 ; 3x+2y=8

Solve the following cquations by matrix method : (i) 3x+y=10 x+2y=5 (ii) x+3y=11 3x-y=3.