The numbers `x, y, z` are respectively proportional to `2, 3, 5 `and the.sum of` x, y and z` is 80. If z is given by the equation `z = ax-8`, then a is

What is the sum of x, y and z? x + y = 8 x + z = 11 y + z = 7

Consider the following statements : 1. If x is directly proportional to z and y is directly proportional to z, then (x^(2) - y^(2)) is directly proportional to z^2 . 2. If x is inversely proportional to z and y is inversely proportional to z, then (xy) is inversely proportional to z^2 . Which of the above statements is/are correct?

Find the solution of given system of equations: 3x+4y+5z=38, 2x-y+8z=33, 4x+3y+2z=25

Three numbers x,y and z in arithmetic progression if x+y+z=-3 and xyz =8 then x^(2)+y^(2)+z^(2) is equal to

Subtract 12x + 3y - z from the sum of 7x + 4y - 5z + 5 and 6x - 7z - 8 .

If x , y , z are in continued proportion, prove that : ((x + y)^(2))/((y + z)^(2)) = (x)/(z) .

The values of x, y, z for the equations 5x-y+4z=5, 2x+3y+5z=2, 5x-2y+6z=1 are

The values of x, y, z for the equations x+y+z=6, 3x-y+2z=7, 5x+5y-4z=3 are