Which of these systems of linear equations has no solution?
A
y = 3x + 8
y = 3x + 16

B
y = 3x + 16
y = 6x + 16

C
y = 3x + 8
y = 6x + 16

D
y = 3x + 8
y = 8x + 16

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Answer:

A is correct

Step-by-step explanation:

A has no solution because since the slopes are the same, setting both equations equal to each other will cancel out the slopes and result in 8=16, meaning no solution will make both sides equal to each other.

B does have a solution because of different slopes

C does have a solution because of different slopes

D does have a solution because of different slopes