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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Another way

Comment 2 of 2 |

By inspection, y=2x and z=6x. Substituting into the first equation leads to 9x^2=1 --> x= +- 1/3. QED.

Posted by Kenny M on 2022-04-25 16:15:41

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