Question

Find the values forX, Y, and Z so that all the following statements are true.

Answer 1

Answer:

x = -36, y = 6, z = -6

Step-by-step explanation:

The requirement x/z = -z means x = -z².

The requirement x/y = z means x = yz.

These two requirements together mean yz = -z², or y = -z.

The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).

Using z=-6, we have x = -z² = -36; y = -(-6) = 6.

For some positive integer n, ...

... x = -36n², y = 6n, z = -6n.