Find the solution set for each of the following systems of linear equations. (а) Зи + 2 — у %31, 4w — 2 — 5у + 162 — — 6, - 2w + 3y – 2z = 4, (b) -2 4.7 w+ 2x – 4y – 14z = –7 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Linear equations problem

Q7: Find the solution set for each of the following systems of linear equations.
(а) Зш + 2л — у — 1,
(b)
– 2x1 – 3x2 + 11r3 = 17
-
4w – 2x – 5y +16z = -6,
I1 + x2 – 3r3 = -9
%3D
- 2w + 3y – 2z = 4,
4т1 + 2л2 — 2.T3 — —17
w+ 21 — 4у — 142 — —7
(c) 2x + 8y + 4z = 12,
- 4r + 5z = 7,
(d) — 21 + 4лт2 — З3 + 4лг4 — 22л; — — 4
T1-2л9 + 4т4 — 13г5 — 8
3x1 – 6x2 + 4r3 + 8x4 – 2x5 = 17
- 5x1 + 10r2–12r4+47r5
I+ 2y + 2z = 7,
3x + 4y – 2z = -2
=-34
Transcribed Image Text:Q7: Find the solution set for each of the following systems of linear equations. (а) Зш + 2л — у — 1, (b) – 2x1 – 3x2 + 11r3 = 17 - 4w – 2x – 5y +16z = -6, I1 + x2 – 3r3 = -9 %3D - 2w + 3y – 2z = 4, 4т1 + 2л2 — 2.T3 — —17 w+ 21 — 4у — 142 — —7 (c) 2x + 8y + 4z = 12, - 4r + 5z = 7, (d) — 21 + 4лт2 — З3 + 4лг4 — 22л; — — 4 T1-2л9 + 4т4 — 13г5 — 8 3x1 – 6x2 + 4r3 + 8x4 – 2x5 = 17 - 5x1 + 10r2–12r4+47r5 I+ 2y + 2z = 7, 3x + 4y – 2z = -2 =-34
Expert Solution
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Since there are multiple questions posted, we will answer the first question (a). If you want the remaining questions to be answered, then please resubmit the questions separately.

a) The given linear system is,

3w+2x-y=14w-2x-5y+16z=-6-2w+3y-2z=4w+2x-4y-14z=-7

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