AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYSolving Systems of Linear Equations: Substitution

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What is the solution to the system of equations? y is equal to negative 3 x minus 2 5 x plus 2 y is equal to 15

A
55 comma negative 19
B
19 comma negative 40
C
negative 19 comma 55
D
negative 40 comma 19
4

What is the solution to the system of equations? y is equal to 2 thirds x plus 3 x is equal to negative 2

A
negative 2 comma negative 15 halves
B
negative 2 comma 11 sixths
C
negative 2 comma 13 thirds
D
negative 2 comma 5 thirds
6

What is the solution to the system of equations? y is equal to 1 point 5 x minus 4 y is equal to negative x

A
negative 1 point 6 comma 1 point 6
B
1 point 5 comma negative 1 point 5
C
1 point 6 comma negative 1 point 6
D
negative 1 point 5 comma 1 point 5
8

What is the solution to the system of equations? y is equal to 1 third x minus 10 2 x plus y is equal to 4

A
negative 6 comma 16
B
16 comma negative 6
C
6 comma negative 8
D
negative 8 comma 6
9

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 is equal to 20 What can Casey conclude?

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

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