`{:(x - 3y = 3),(3x - 9y = 2):}`

7x + 3y = 4221x + 9y = 42

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

If ({:(3x -y, x + 3y),(2x - z, 2y +z):}) = ({:(7,9),(5,5):}), then x + y + z equals

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions. In case there is unique solution, find it by using cross-multiplication method x – 3y – 3 = 0, 3x – 9y – 2 = 0

Find the number of solutions for the pair of equations x + 3y + 5 =0 and - 3x - 9y + 2 =0.

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

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}

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)

(5x + 3y) (5x-3y) (25x ^ (2) + 9y ^ (2))