7.29. Find all integral solution of` x^3 + 5y^3 + 25z^3-15xyz` =0

Find the solution of 3x-5y+1=0,-7x+3y+15=0

If x = 1, y = - 2 and z = 3. find the value of (i) x^(3) + y^(3) + z^3-3xyz (ii) 3xy^(4) - 15 x^(2) y + 4z

The total number of integral solutions for (x, y, z) such that xyz = 24 is

Find the division of (x^3+8y^3-27z^3+18xyz)-:(x+2y-3z)

" The number of integral solutions of the equation "3x+3y+z=30," where "x>=0,y>=0" and "z>=0" is "

The number of integral solutions of the equation 3x+3y+z=30, where x>=0,y>=0 and z>=0 is

(a) Find the non-negative integral solutions of the equation x+y+z+t=15 , (b) Find the number of non-negative integral solutions x_(1)+x_(2)+x_(3)+4x_(4)=20

(a) Find the non-negative integral solutions of the equation x+y+z+t=15 , (b) Find the number of non-negative integral solutions x_(1)+x_(2)+x_(3)+4x_(4)=20

Which of the following equations are consistent? If consistent, find their solutions. {:(x - 3y - 8z = -10),(3x + y - 4z = 0),(2x + 5y + 6z = 13):}