AnswersFL-1200700-Mathematics for College Algebra MISSolving Systems of Linear Equations: Substitution

Solving Systems of Linear Equations: Substitution Answers

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Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mile head start on Arnob. The graph shows how far they have both traveled.

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A
9.8
B
10
C
73.5
D
75
2
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The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars.Company A: y=0.75xCompany B: y=10+0.50x

A
6
B
8
C
30
D
40
3

Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude?

A
One landscaper charges $20 for 5 hours of work.
B
One landscaper’s hourly rate is $15 lower than the other landscaper’s.
C
Both landscapers charge the same hourly rate and the same fee per job.
D
Both landscapers charge the same hourly rate, but not the same fee per job.
4

What is the solution to the system of equations?y = x – 102x + y = 4

Question illustration
A
(–8, 6)
B
(–6, 16)
C
(6, –8)
D
(16, –6)

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