Which of the following are solutions to |x-1|= 5x + 2? check all that apply.
a: x=3/4
b: x=3/4, 1/6
c: x= -1/6
d: x= 1/6

The solution of |x-1| = 5x + 2 is and option c is correct.

Solution:

Given, equation is |x-1|= 5x + 2

We have to find the value of x  

Now, |x-1|= 5x + 2  

Because mod becomes "±" when shifted to opposite side of “=”

x – 1 = ±(5x+2)    

x – 1 = 5x + 2 or x – 1 = -(5x + 2)

In options we have only

Hence, the value of x is and option c is correct