Solve the system of equations by letting A = 1/x, B = 1/y, and C = 1/z.  (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) 4 x  +  1 y  −  4 z  =  9   5 x  −  8 y      =  −3   4 x  +  1 y  +  5 z  =  0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the system of equations by letting

A = 1/x,
B = 1/y, and
C = 1/z. 
(If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)
4
x
 + 
1
y
 − 
4
z
 =  9
 
5
x
 − 
8
y
     =  −3
 
4
x
 + 
1
y
 + 
5
z
 =  0
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