Difference between revisions of "1976 AHSME Problems/Problem 30"

(Problem 30)
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\textbf{(D) }4\qquad
 
\textbf{(D) }4\qquad
 
\textbf{(E) }6  </math>
 
\textbf{(E) }6  </math>
 
[[1976 AHSME Problems/Problem 30|Solution]]
 
 
  
 
== Solution ==
 
== Solution ==

Revision as of 14:04, 7 May 2020

Problem 30

How many distinct ordered triples $(x,y,z)$ satisfy the equations \[x+2y+4z=12\] \[xy+4yz+2xz=22\] \[xyz=6\]


$\textbf{(A) }\text{none}\qquad \textbf{(B) }1\qquad \textbf{(C) }2\qquad \textbf{(D) }4\qquad \textbf{(E) }6$

Solution

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