Find the image of the `(-2,-7)` under the transformations (x,y) to `(x-2y,-3x+y).`

Find the image of the point P (3, 5, 7) in the plane 2x + y + z=0 .

The image of the point (-1, 3, 4) in the plane x-2y=0 is

Find the minimum value of Z = -3x + 4y, subject to the constraints x+2y le 8, 3x+2y le 12, x ge 0, y ge 0 .

By shifting origin at (-2,3) find new transformed form at the equation y+3x=2 .

Find the image of the point (3, 5, 3) with respect to the line x/1=(y-1)/(2)=(z-2)/(3)

Find three different solutions of the each of the following equations. (i) 3x + 4y = 7 (ii) y = 6x (iii) 2x - y = 7 (iv) 13x - 12y = 25 (v) 10x + 11y = 21 (vi) x + y = 0

Find the values of x, y and z from the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

Find the value of x and y from the equation. [{:(3x+7,5),(y+1,2-3x):}]=[{:(-2,5),(1,11):}]

Find the number of terms in the expansion of the following : (2x+1/y)^(7)+(2x-1/y)^(7)