The linear equation which has only one solution would be |–6x + 3| = 0
A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
|x – 5| = –1
The absolute function cannot be equal to the negative. so we cannot solve this absolute function.
|–6 – 2x| = 8
For this absolute function, we make two equations here
-6-2x= 8 and -6-2x= 8. So we will get two solutions for x.
|5x + 10| = 10
For this absolute function, we make two equations here
5x+10= 10 and 5x+10= -10. So we will get two solutions for x
|–6x + 3| = 0
For this absolute function we make two equations
-6x+3=0 and -6x+3=-0.
Both have the same 0 on the right side. So we will get only one solution for x
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