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

Solving Systems: Introduction to Linear Combinations Answers

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Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?

A
5x + 8y = 775 and x + y =125
B
5x – 8y = 125 and x + y = 775
C
5x + 8y = 775 and x – y = 125
D
5x – 8y = 125 and x – y = 775
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Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?

A
5x + 8y = 775 and x + y =125
B
5x – 8y = 125 and x + y = 775
C
5x + 8y = 775 and x – y = 125
D
5x – 8y = 125 and x – y = 775
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(–4, 6)(–2.75, 8.6)(2.75, 3.5)✔ (4, 6)

A
(–4, 6)
B
(–2.75, 8.6)
C
(2.75, 3.5)
D
✔ (4, 6)
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What did you include in your response? Check all that apply.

A
Multiplying the first equation by 2 and adding the equations results in 20x = 10.
B
The solution of the system is (1/2, 5).
C
The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39.
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Solve the system of equations.

Answers:
Selection 1:8x = 32
Selection 2:(4, 6)

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