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PHY.K02UF Molecular and Solid State Physics

Three coupled linear algebraic equations

 $x+$  $y+$  $z=$ 
 $x+$  $y+$  $z=$ 
 $x+$  $y+$  $z=$ 

The set of linear equations,

$7x+3y+2z=6$
$5x+9y+4z=6$
$2x+1y+8z=2$

has the solution:

$x=$ 0.7457627118644068 $y=$ 0.23728813559322035 $z=$ 0.033898305084745776