Solve 52x + 67y + 46z = 175 67x + 73y + 54z = 194 46x + 54y + 65z = 165

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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Please send me handwriting solution only. Solve

52x + 67y + 46z = 175

67x + 73y + 54z = 194

46x + 54y + 65z = 165. Don't give this type of answers, This answer is to much short, use Gaussian Elimination 

Cramer's rule
a+ big + 42=
Let the system jó
a3 x + bg Y + Cg Z=d3
a, b, 4
D =
bi 9
D,ー|d2 bes
d3 by Cg
di 4
as b2 C2
d2 bq G
dz
a3
bg C3
タ
as
O4 b, d,
Dz
D.
Z.
ar b2 d2
Dx
ニ
then
*リ=
2ニ
ag b, d3
Transcribed Image Text:Cramer's rule a+ big + 42= Let the system jó a3 x + bg Y + Cg Z=d3 a, b, 4 D = bi 9 D,ー|d2 bes d3 by Cg di 4 as b2 C2 d2 bq G dz a3 bg C3 タ as O4 b, d, Dz D. Z. ar b2 d2 Dx ニ then *リ= 2ニ ag b, d3
for this system,
ら2 67 A6
D=
ニ -18289
67
T3 54
146
54
65
52 175 46
175
67 46
Dx
て3 54
Dy = 67
194 57
194
165
ら1-65
46
165 65
D
52 67
175
ニー36999
ニ
73
199
ニー5689
67
146
54
165
১6१११
Dy
y=
Dx
ニ
D
ン
18289
D
18289
Dz
15689
18289
Zニ
ニ
D
Transcribed Image Text:for this system, ら2 67 A6 D= ニ -18289 67 T3 54 146 54 65 52 175 46 175 67 46 Dx て3 54 Dy = 67 194 57 194 165 ら1-65 46 165 65 D 52 67 175 ニー36999 ニ 73 199 ニー5689 67 146 54 165 ১6१११ Dy y= Dx ニ D ン 18289 D 18289 Dz 15689 18289 Zニ ニ D
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