What is the answer in 3x-2y plus 5z sum in algebraic expressions?

Answer 1

What do you mean "answer"? Do you want to know what the 3x - 2y + 5z is equal to? That is impossible to determine without the values of x, y, and z.

Do you want the solution? As in the values of x, y, and z that satisfy the equation? Well, first of all, it's not even an equation. If you set it equal to zero, as in 3x - 2y + 5z = 0, then it's an equation. But you cannot fully solve for x, y, or z. However, you could solve for each variable in terms of the others:

x = (2y-5z)/3

y = (3x+5z)/2

z = (2y-3x)/5

In order to solve for known values of x, y, and z, you would need at least three equations in these three variables.

I can tell you that this expression defines a plane in 3-dimensional space. The expression as it is fully defines the orientation of the plane, but you need to make it an equation (set it equal to some constant) to define its position. Say you set this expression equal to zero (3x - 2y + 5z = 0). From this equation, you could determine various sets of points in 3-dimensional space:

(x,y,z) =

(0,0,0)

(1,-1,-1)

(2,3,0)

(-1,1,1)

(4,1,-2)

(4,6,0)

(3,2,-1)

There are an infinite number of points that satisfy the equation, but they are all on the same 3-dimensional plane.