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

Solving Systems of Linear Equations: Substitution Answers

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1
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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.
2
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What is the value of x?

A
–3
B
–1
C
3
3

What is the value of y?

A
–1
B
1
C
3
4

The value of y from the second equation is substituted back into the first equation. What is the resulting equation?

A
2(8 – 3x) + 3x = 3
B
2x + 3(8 – 3x) = 3
C
2x + 3y = 8 – 3x
5

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
6

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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