x+y +2 =0 y+2z -4 x - -10 [10 -1 4] 01 2 4+ 01 2 4 01 2 4 01 2 4-0 1 2 0 0 0 0 14 10 -1 -4] 10 -1 0 10 -1 10 0 -1 -2 10 Lo 0 0 1 0 0 0 1 Therefore, we have an inconsistent system (no solution). 20 io à 3. Show that the following system has infinitely many solutions. * + y + 100 5x + 10y + 20z = 2000 -5x + 10z = 1000 [111 100 [111 100] [111 100 5 10 20 2000 -0 5 15 1500 -0 1 3 300 -0 1 3 05 15 1500 10 -2 -200 300 -5 0 10 1000 OS 15 1500 0 0 0 0 2z-200 Solutions: 300-32

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Wed Sep 8 7:11 PM
History X
FSC myFSC X
Bb LEARN X
Bb Math 2 X
Bb Math 2 X
solving X
How T X
Solving X
How T X
Deepl X
buenos X
spanis x
Membe X
Мy Qu X
gauss
X G gauss
Gaussi X
> Algebr X
farmingdale.open.suny.edu/bbcswebdav/pid-2193589-dt-content-rid-22841230_1/courses/202109-MTH245-001-90761/MTH%20245%20Solving%20Systems.pdf
27
* ES
Apps
Reading List
Math 245
4 / 10
100%
x +y +z = 0
Ety
Wndng dm a
y+2z = 4
ntem te
2
W a
z =10
1
1
1
[1
1
1
[1 0 -1 -4
[1 0 -1 -4]
1 0 -1 0
0 1
4 →|0
1
2
4
1
2
4
→|0 1
2
4 →0 1
2
1
0 -1 10
0 -1 -2 10
14
0 0
1
0 0
1
Therefore, we have an inconsistent system (no solution).
I a
..M ... ...
10
30
10
- 10
-20
20
10
-30
-40
20
io
10
10 20
3. Show that the following system has infinitely many solutions.
+ y
+ z =
100
5x + 10y + 20z = 2000
-5x
10z = 1000
1 1 1 100
1 1 1
100
1 1 1 100
1 0 -2 -200
10 20
2000 → 0 5 15 1500→ 0 1
3
300
→ 0 1
3
300
-5 0
10
1000
0 5 15 1500
0 5 15 1500
|0 0 0 0
6.
2z - 200
Solutions:
y
300 – 3z
Cur Fining
國TO
SEP
PAGES
8.
101
0000
II
Transcribed Image Text:- Chrome File Edit View History Bookmarks Profiles Tab Window Help Wed Sep 8 7:11 PM History X FSC myFSC X Bb LEARN X Bb Math 2 X Bb Math 2 X solving X How T X Solving X How T X Deepl X buenos X spanis x Membe X Мy Qu X gauss X G gauss Gaussi X > Algebr X farmingdale.open.suny.edu/bbcswebdav/pid-2193589-dt-content-rid-22841230_1/courses/202109-MTH245-001-90761/MTH%20245%20Solving%20Systems.pdf 27 * ES Apps Reading List Math 245 4 / 10 100% x +y +z = 0 Ety Wndng dm a y+2z = 4 ntem te 2 W a z =10 1 1 1 [1 1 1 [1 0 -1 -4 [1 0 -1 -4] 1 0 -1 0 0 1 4 →|0 1 2 4 1 2 4 →|0 1 2 4 →0 1 2 1 0 -1 10 0 -1 -2 10 14 0 0 1 0 0 1 Therefore, we have an inconsistent system (no solution). I a ..M ... ... 10 30 10 - 10 -20 20 10 -30 -40 20 io 10 10 20 3. Show that the following system has infinitely many solutions. + y + z = 100 5x + 10y + 20z = 2000 -5x 10z = 1000 1 1 1 100 1 1 1 100 1 1 1 100 1 0 -2 -200 10 20 2000 → 0 5 15 1500→ 0 1 3 300 → 0 1 3 300 -5 0 10 1000 0 5 15 1500 0 5 15 1500 |0 0 0 0 6. 2z - 200 Solutions: y 300 – 3z Cur Fining 國TO SEP PAGES 8. 101 0000 II
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