Question 15 A linear system may have a unique solution, no solution, or infinitely many solutions. Determine the number of solutions for each of the following systems. a. b. -2x - 3y = 4 -8x12y = 9 O No Solution OUnique solution O Infinitely many solutions I - y = -3 -x + 2y = 4 O Infinitely many solutions. OUnique solution No Solution C.. 4x + I e. d. {40x O Infinitely many solutions O No Solution y = Unique solution 3x = 0 1 + gy -3 = -5 45y = 25 Unique solution O Infinitely many solutions No Solution 6y + 18y - 2 -4 Infinitely many solutions No Solution Unique solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 15
A linear system may have a unique solution, no solution, or infinitely many solutions. Determine the
number of solutions for each of the following systems.
a.
b.
-2x - 3y = 4
-8x12y = 9
O No Solution
OUnique solution
O Infinitely many solutions
I
- y = -3
-x + 2y = 4
O Infinitely many solutions.
OUnique solution
No Solution
C..
4x +
I
e.
d. {40x
O Infinitely many solutions
O No Solution
y =
Unique solution
3x
= 0
1
+ gy
-3
= -5
45y = 25
Unique solution
O Infinitely many solutions
No Solution
6y
+ 18y
-
2
-4
Infinitely many solutions
No Solution
Unique solution
Transcribed Image Text:Question 15 A linear system may have a unique solution, no solution, or infinitely many solutions. Determine the number of solutions for each of the following systems. a. b. -2x - 3y = 4 -8x12y = 9 O No Solution OUnique solution O Infinitely many solutions I - y = -3 -x + 2y = 4 O Infinitely many solutions. OUnique solution No Solution C.. 4x + I e. d. {40x O Infinitely many solutions O No Solution y = Unique solution 3x = 0 1 + gy -3 = -5 45y = 25 Unique solution O Infinitely many solutions No Solution 6y + 18y - 2 -4 Infinitely many solutions No Solution Unique solution
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