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.
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
74106

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
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
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 = 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

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