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How many solutions does the system formed by x-y=3 and ay-ax+3a=0 have for a nonzero number a? 

 Mar 3, 2021
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Slope of first line     y = x-3         m = slope = 1

Slope of second line   ay = ax - 3a     slope is also 1   (no matter what value of nonzero a is chosen)

   the lines are parallel ....no solutions

 Mar 3, 2021

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