In a bottling factory there are three machines, A B, and C. In one hour: • All three machines together can fill a total of 960 bottles. • Machines B and C together can fill a total of 660 bottles • Machine A can fill 55 more bottles than machine B. Which matrix represents a system of equations for this situation? 1 11960 110 660 -1 10 55 1. 11960 011 660 -1 10 55 1 1 1960 011660 1 -1 0 55 1 1 1660 O0 1 1 960 1 10 55

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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In a bottling factory there are three machines, A B, and C. In one hour:
• All three machines together can fill a total of 960 bottles.
• Machines B and C together can fill a total of 660 bottles
• Machine A can fill 55 more bottles than machine B.
Which matrix represents a system of equations for this situation?
111960
110 660
-1 10
55
1.
11960
01 1660
-110 55
11 1960
0 1
1 660
1-1055
1 1 1660
O0 1 1 960
1 10 55
Transcribed Image Text:In a bottling factory there are three machines, A B, and C. In one hour: • All three machines together can fill a total of 960 bottles. • Machines B and C together can fill a total of 660 bottles • Machine A can fill 55 more bottles than machine B. Which matrix represents a system of equations for this situation? 111960 110 660 -1 10 55 1. 11960 01 1660 -110 55 11 1960 0 1 1 660 1-1055 1 1 1660 O0 1 1 960 1 10 55
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