Answered: Advanced Math Question

Math

Advanced Math

Advanced Math Question

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Expert Solution

Step 1

$g i v e n e q u a t i o n s o f p l a n e s 3 x + 4 y - z = 84 \dots (i) x - 8 y + 2 z = 0 \dots (i i) n o w s o l v e a b o v e b o t h e q u a t i o n s (i) \times 2 + (i i), w e g e t 7 x = 168 \Rightarrow x = 24 n o w p u t x = 24 i n e q u a t i o n (i), w e g e t 72 + 4 y - z = 84 \Rightarrow 4 y - z = 12 n o w w e p u t y = t \Rightarrow 4 t - z = 12 \Rightarrow z = 4 t - 12 w h e r e t i s a r b i t r a t y$