If (2x + 3, 34) = (5, x + 3y), find x,y.

If (x - 2,y + 3) = (5,-6) , then find the value of x and y.

If (x/3+1, y-2/3)=(5/3, 1/3) , find the values of x and y.

If {:2[(3,4),(5,x)] + [(1,y ),(0,1)] = [(7,0),(10,5)] , find (x-y).

Using intergration, find the area bounded by the lines : 2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0

Find the greatest value of x^3y^4 if 2x + 3y = 7 and x>=0,y>=0 .

Find the equation of the circle circumscribing the quadrilateral formed by the straight lines : x-y = 0, 3x + 2y = 5, x - y = 10 and 2x + 3y = 0 .