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Find the value of $a$ so that the system has no solutions.
y = 11x+14
2y-4 = ax +5y+3

 Aug 4, 2021
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If the slopes are the same then there are no solutions because theya re parallel and do not cross

Arrange each into y = mx+ b form      where m = slope       find the value of 'a' that make them the same slope

   the first equation is already in y = mx + b form         m = 11

 

2y-4 = ax +5y+3

3y = -ax -7      

y = - a/3  x   - 7/3       so     -a/3 = 11    solve for 'a'

 Aug 4, 2021

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