" (iv) "(x)/(2)+(2y)/(3)=-1" और "(x-(y)/(3))/(3)=3p^(3)

Solve for x and y: (x)/(2) + (2y)/(3)= -1 and x- (y)/(3)= 3

Solve for x and y : (x)/(2)+(2y)/(3)=-1 x-(y)/(3)=3

(3) 3x-2y=(5)/(2) (1)/(3)x+3y=-(4)/(3)

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)

If y = 2x + 3x ^ (2) + 4x ^ (3) + ......., then (y) / (2) - (1.3) / (2!) ((Y) / (2) ) ^ (2) + (1.3.5) / (3!) ((Y) / (3)) ^ (3) -...... oo =

If x + y + z = xyz , prove that (3x -x^(3))/ (1-3x^(2)) + (3y -y^(3))/(1- 3y^(2)) +(3z -z^(3))/(1- 3z^(2)) = (3x -x^(3))/(1-3x)^(2) * (3y- y^(3))/(1-3x)^(2)* (3z- z^(3))/(1-3z)^(2) .

If x+y+z=xyz , prove that: a) (3x-x^(3))/(1-3x^(2))+(3y-y^(3))/(1-3y^(2))+(3z-z^(3))/(1-3z^(2))= (3x-x^(3))/(1-3x^(2)).(3y-y^(3))/(1-3y^(2)).(3z-z^(3))/(1-3z^(2)) b) (x+y)/(1-xy) + (y+z)/(1-yz)+(z+x)/(1-zx)= (x+y)/(1-xy) .(y+z)/(1-yz).(z+x)/(1-zx)

If" " x^(2) + y^(2) = 1, "show that, "(3x - 4x^(3))^(2) + (3y - 4y^(3))^(2) = 1.