Find the value of d such that the system of equations

-10x + 15y = -17

dx +12y = 8

Does not have a solution

Guest Aug 11, 2021

#1**+1 **

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

ElectricPavlov Aug 11, 2021