Home Work 5
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School
Community College of Aurora *
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Course
1340
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
7
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#5 Homework 7.1 Systems of Linear Equations: Two Variables
Daler Nizomaddinov
Question 1
1/1 pt
2
99
Question 2
1/1 pt
1-2
99
Solve the system of equations by graphing:
Answer: (
4
,
1
)
Question Help: Video 1
Video 2
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Question 3
1/1 pt
1-2
99
Solve the system of equations by graphing:
Solution: (Enter DNE if there is no solution)
DNE
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
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Question 4
1/1 pt
2
98
a. Graph A
b. Graph B
Consider the following system of equations and its graph:
2
4
6
-2
-4
-6
2
4
6
8
-2
-4
-6
-8
A
B
A) What is the solution of the system?
Answer: (
2
,
1
)
B) In the boxes below, enter either the letter A or B to match the equation to the graph shown.
Question Help: a
b
Video
Solve the system by substitution.
One or more solutions: (2,5)
No solution
Infinite number of solutions
Question Help: Video
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Question 5
1/1 pt
1
99
Question 6
1/1 pt
2
99
Question 7
1/1 pt
2
99
Question 8
1/1 pt
2
99
Solve the system using substitution.
One solution: (5,-3)
No solution
Infinite number of solutions
Question Help: Video
Solve by substitution.
One or more solutions: No solution
Infinite number of solutions
Question Help: Video
Solve the system by elimination.
One solution: (4,5)
No solution
Infinite number of solutions
Question Help: Video
2/11/24, 7:22 PM
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Question 9
1/1 pt
1
99
Question 10
1/1 pt
2
99
Question 11
1/1 pt
1
99
Solve the system by elimination.
One solution: (4,-1)
No solution
Infinite number of solutions
Question Help: Video
A particular movie theater charges per adult and per child. If people attended a movie
and the total revenue from ticket sales was , which of the following models the given
information if represents the number of adults and represents the number of children?
The admission fee at an amusement park is $1.50 for children and $5.60 for adults. On a certain day,
371 people entered the park, and the admission fees collected totaled $1356. How many children and
how many adults were admitted?
number of children equals 176
number of adults equals 195
Question Help: Video
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Question 12
1/1 pt
2
97
Question 13
1/1 pt
2
91
Question 14
1/1 pt
1
99
A bank loaned out $25,500, part of it at the rate of 2% annual interest, and the rest at 14% annual
interest. The total interest earned for both loans was $2,070.00. How much was loaned at each rate?
$
12500
was loaned at 2% and
$
13000
was loaned at 14%.
Question Help: Video
You are choosing between two different cell phone plans. Plan 1, charges a rate of $ 0.21 dollars per
minute. Plan 2 charges a monthly fee of $44.95 plus
$ 0.08 dollars per minute.
If x = the number of minutes
used and y = total cost in Dollars!!!!!!
A) Write system of equations to represent the total cost (in dollars) of each plan.
Plan 1: y
= 0.21
x
Plan 2: y
= 0.08
x
+ 44.95
B)
What is the minimum number of minutes you would have to use in a month in order for the second
plan to be preferable?
346
minutes
Question Help: Video
Find two numbers and whose sum is -5 and whose difference is 3.
Your answer is
−1
−4
Question Help: Video 1
Video 2
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A man has 32 coins in his pocket, all of which are dimes and quarters. The total value of his change is
590 cents.
How many dimes and how many quarters does he have?
the number of dimes is 14
the number of quarters is 18
Show Detailed Solution
Question Help: Video
Written Example