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2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 6

Revision as of 23:44, 7 November 2014 by Timneh (talk | contribs) (Created page with "== Problem == How many triples <math>(x, y, z)</math> of rational numbers satisfy the following system of equations? <cmath>\begin{align*} x + y + z &= 0\\ xyz + 4z &= 0\\ xy +...")
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Problem

How many triples $(x, y, z)$ of rational numbers satisfy the following system of equations? \begin{align*} x + y + z &= 0\\ xyz + 4z &= 0\\ xy + xz + yz + 2y &= 0 \\ \end{align*}

Solution

See also

2014 UNM-PNM Contest II (Problems • Answer Key • Resources)
Preceded by
Problem 5 		Followed by
Problem 7
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNM-PNM Problems and Solutions
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