`{:(2x - 3y = k),(4x + 5y = 3):}`

If (3x -4y) : (2x -3y) = (5x -6y) : (4x -5y) , find : x : y .

Simplify the following (2x - 3y ) (4x - 5y)

Solve for (x - 1)^(2) and (y + 3)^(2) , 2x^(2) - 5y^(2) - x - 27y - 26 = 3(x + y + 5) and 4x^(2) - 3y^(2) - 2xy + 2x - 32y - 16 = (x - y + 4)^(2) .

Simplify: (2x + 5y)(3x + 4y) - (7x + 3y)(2x + y)

If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concurrent, then k is

{{:(4x+3y=14-y),(x-5y=2):} If (x,y) is a solutin to the system of equations above, then what is the vaue of x y ?

Find each of the following products: (i) (4x + 5y) (4x - 5y) (ii) (3x^(2) + 2y^(2)) (3x^(2) - 2y^(2))

2x+3y=8 4x-5y=-6

Solve: 2x-3y=3 and 4x-5y=7