This problem is represented by the following system: 3x +9y+22=98 8z + 5y +32= 105 4z +10y+z=100 where x represents the price of citizen ticket, y represents the price of child ticket, and z represents the price of VIP ticket Drag and drop a) The coefficient matrix - Then the determinant of the coefficient matrix is 81 b) The determinant ratios of x and y, and z are: □ c) Then the price of senior ticket x y= □ the price of child ticket y is $7, and the price of the VIP ticket is $10

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
icon
Related questions
Question
On the third day the school sold 4 senior citizen tickets, 10 child tickets, and 1 VIP ticket for $100.
This problem is represented by the following system: 3 +9y+22=98
8z + 5y +32 105
4x+10y+z=100
where x represents the price of citizen ticket, y represents the price of child ticket, and z represents the price of VIP ticket.
Drag and drop
a) The coefficient matrix -
Then the determinant of the coefficient matrix is 81
b) The determinant ratios of x and y, and z are:
PE
C
c) Then the price of senior ticket x
11
13
9
5
8
4 10
2
3
1
11
OK
105
ya
3 9
S
98
5 105
10 100
2
11
□
the price of child ticket y is $7, and the price of the VIP ticket is $10
3
8
4
BE
105
10
81
.
2
3
I
11
14
3 S 98
8
5
4
10
98
106
81
100
100
#
[3 98 21
8 105 3
4 100 1
#81
Transcribed Image Text:On the third day the school sold 4 senior citizen tickets, 10 child tickets, and 1 VIP ticket for $100. This problem is represented by the following system: 3 +9y+22=98 8z + 5y +32 105 4x+10y+z=100 where x represents the price of citizen ticket, y represents the price of child ticket, and z represents the price of VIP ticket. Drag and drop a) The coefficient matrix - Then the determinant of the coefficient matrix is 81 b) The determinant ratios of x and y, and z are: PE C c) Then the price of senior ticket x 11 13 9 5 8 4 10 2 3 1 11 OK 105 ya 3 9 S 98 5 105 10 100 2 11 □ the price of child ticket y is $7, and the price of the VIP ticket is $10 3 8 4 BE 105 10 81 . 2 3 I 11 14 3 S 98 8 5 4 10 98 106 81 100 100 # [3 98 21 8 105 3 4 100 1 #81
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning