[" 9."[" (i) "x-3y-3=0," (im) "2x+y=5],[," 3"x-9y-2=0],[" 3x "+2y=8],[" (iti) "3x-5y=20],[" (iv) "x-3y-7=0],[6x-10y=40]]

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

Solve using the method of substitution. ( i) 2x-3y =7,5x +y=9 (ii) 1.5x+ 0.1 y =6.2,3x -0.4y=11.2 (iii) 10% of x +20% of y =24, 3x-y=20 (iv) sqrt2x -sqrt 3y =1, sqrt 3x -sqrt 8y =0

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

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

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

find x and y : 2x+3y-8=0, 3x+y-5=0

Prove that the following lines are concurrent. (i)5x-3y=1 , 2x+3y=23 , 42x+21y=257 (ii) 2x+3y-4=0 , x-5y+7=0 , 6x-17y+24=0

Express the following linear equations in the form of ax+ by+c=0 and indicate the value of a, b and c in each case. (i) 2x + 3y = 9.3 overline 5 (ii) x - y/5 -10 = 0 (iii) -2x + 3y -6 =0 (iv) x = 3y (v) 2x = -5y (vi) 3x + 2 = 0 (vii) y-2 = 0 (viii) 5 = 2x

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

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)/(2)x+(5)/(3)y=7;9x-10y=14( (iv) 5x-3y=11;-10x+6y=-22( v) (4)/(3)x+2y=8;2x+3y=12