AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Solving 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 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.
74102

y = [___]

Answer:

6

74105

y = 5.5xy = 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
74110

For the total cost to be the same for both companies, the volleyball team would need to purchase [___] T-shirts from each company for a total of $[___] for each company.

Answer:

10

74112

y = –2.5x – 15y = –2.5xy = 2.5x + 15y = 2.5x

A
y = –2.5x – 15
B
y = –2.5x
C
y = 2.5x + 15
D
y = 2.5x
74115

2(8 – 3x) + 3x = 32x + 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

–3–13

A
–3
B
–1
C
3
74117

–113

A
–1
B
1
C
3
74118

([___], [___])

Answer:

8

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