` 7x - 2y = 3`,
` 22x - 3y = 16`.

Maximize Z = 22x + 44y subject to the constraints x + y ge 3, 3x + 8y le 24, x - y ge 0, x, y ge 0 .

7x+15y =2 x-2y=3

Solve for x and y : y = 2x + 9 and 7x + 3y = -51

6x + 5y = 7x + 3y + 1 = 2 ( x + 6y - 1 )

(i) Z = 20x + 10y x + 2y le 28, 3x + y le 24, x ge 2, x, y ge 0 (ii) Z = 7x + 10y 4x + 6y le 240, 6x + 3y le 240, x ge 10, x ge 0, y ge 0 (iii) Z = 22x + 44y subject to the constraints: x + y ge 3, 3x + 8y le 24, x - y ge 0, x, y ge 0 .

Simplify : ( 3y ( x - y) - 2x ( y -2x))/( 7x ( x - y) - 3 ( x ^(2) - y ^(2)))

3x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}]

If x : y = 3 :4 then (7x + 3y) : (7x - 3y) = ?

If (x : y) = (3 : 4) then (7x + 3y) : (7x - 3y) = ?