perplexus.info :: Just Math : Simple set

Simple set (Posted on 2022-04-25)

Solve:

x*(x+y+z)=1
y*(x+y+z)=2
z*(x+y+z)=6

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

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Short and Sweet

| Comment 1 of 2

Adding the 3 equations, we have:

(x+y+z)^2 =1+2+6=9

(x+y+z)=+/-3 ......(#)

Dividing each of the given equations by (#), we have:

(x,y,z) = (1/3, 2/3, 2), (-1/3, -2/3, -2)

Posted by K Sengupta on 2022-04-25 08:12:28

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