" (i) "2x+3y=9.35quad " (ii) "x-

Express the following linear equations in the form a x+b y+c=0 and indicate the values of a ,\ b\ a n d\ c in each case: (i) 2x+3y=9. 35 (ii) 3x=-7y

Express the following linear equations in the form a x+b y+c=0 and indicate the values of a ,\ b\ a n d\ c in each case: 2x+3y=9. 35 (ii) 3x=-7y

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

Find the value of 27 x^3+\ 8y^3, if (i) 3x+2y=14 and x y=8 (ii) 3x+2y=20\ and x y=(14)/9

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

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 each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Simplify each of the following: (i) 7x^3y+9y x^3 (ii) 12 a^2b+3b a^2

Factorise: (i) x^3-2x^2-x+2 (ii) x^3-3x^2-9x-5 (iii) x^3+13 x^2+32 x+20 (iv) 2y^3+y^2-2y-1