Algebra

[kcn6996]

What are all the ordered triples of real numbers (x,y,z) that satisfy the following system?(x+y)(x+y+z)=120 (y+z)(x+y+z)=96 (x+z)(x+y+z)=72

 

[JeffM]

What are all the ordered triples of real numbers (x,y,z) that satisfy the following system?(x+y)(x+y+z)=120 (y+z)(x+y+z)=96 (x+z)(x+y+z)=72

Hint: Let a = x + y + z.