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Find the value of d such that the system of equations

 

-10x + 15y = -17
dx +12y = 8

Does not have a solution

 Aug 11, 2021
 #1
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Whatever value of 'd' makes the lines' slopes the same would be what you are looking for .....same slope lines are parallel and do not intersect.

Place each line into y = mx + b   form     m is the slope

 

15y = 10x - 17

y = 2/3 x - 17/15          slope = 2/3      so  we need a value of d to make slope of second line = 2/3

 

dx + 12y = 8

12 y = - dx + 8

   y =  - d/12  + 2/3             we need    -d/12 = 2/3     so d = -8

 Aug 11, 2021

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