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

Solving Systems of Linear Equations: Substitution Answers

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Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?

A
The solution to the system is (7, 9).
B
The system of equations does not have a solution.
C
The work must be incorrect because it is not possible to get this equation.
D
The system of equations has infinitely many solutions.
74102

⇒ 6

Answer:

74102

74106

y = 5.5x✔ y = 10.5xy = 6.5x + 30y = 7.5x + 30

A
y = 5.5x
B
✔ y = 10.5x
C
y = 6.5x + 30
D
y = 7.5x + 30
74113

(–6.3, –10.75)(–6.3, –0.75)✔ (–6, 0)(0, –6)

A
(–6.3, –10.75)
B
(–6.3, –0.75)
C
✔ (–6, 0)
D
(0, –6)
74115

2(8 – 3x) + 3x = 3✔ 2x + 3(8 – 3x) = 32x + 3y = 8 – 3x

A
2(8 – 3x) + 3x = 3
B
✔ 2x + 3(8 – 3x) = 3
C
2x + 3y = 8 – 3x
74116

–3–1✔ 3

A
–3
B
–1
C
✔ 3
74117

✔ –113

A
✔ –1
B
1
C
3
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How many problems of each point value are on the test?

A
10 problems worth 5 points and 25 problems worth 2 points
B
14 problems worth 5 points and 15 problems worth 2 points
C
16 problems worth 5 points and 13 problems worth 2 points
D
15 problems worth 5 points and 13 problems worth 2 points
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What did you include in your response? Check all that apply.

A
Both Jared and Nicole are correct.
B
You can solve for either variable and use the equivalent expression to create a one-variable equation.
C
Jared would have created a one-variable equation that can be used to solve for x.
D
Nicole would have created a one-variable equation that can be used to solve for y.

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