AnswersFL-1200310-Algebra 1Solving Systems of Linear Equations: Graphing

Solving Systems of Linear Equations: Substitution Answers

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The tables represent two linear functions in a system.What is the solution to this system?

Question illustration
A
(negative StartFraction 13 over 3 EndFraction, negative 25)
Option A
B
(negative StartFraction 14 over 3 EndFraction, negative 54)
Option B
C
(–13, –50)
D
(–14, –54)
4

What is the solution to the system of equations?y = x + 3x = –2

Question illustration
A
(negative 2, negative StartFraction 15 over 2 EndFraction)
Option A
B
(negative 2, StartFraction 5 over 3 EndFraction)
Option B
C
(negative 2, StartFraction 11 over 6 EndFraction)
Option C
D
(negative 2, StartFraction 13 over 3 EndFraction)
Option D
8

What is the solution to the system of equations?y = 1.5x – 4y = –x

A
(–1.6, 1.6)
B
(–1.5, 1.5)
C
(1.5, –1.5)
D
(1.6, –1.6)
9

y=–3x + 6y=9

A
(–21, 9)
B
(9, –21)
C
(–1, 9)
D
(9, –1)
10

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.

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