Question

Which of the following are solutions. Check all that apply

Answer 1

Answer: b, c

Explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer 2

The solution of the equation |x - 1| = 5x + 2 is

B. -1/6

how to solve for x

To solve the absolute value equation |x - 1| = 5x + 2, we'll consider two cases

1. When x - 1 is non-negative (or zero):

x - 1 = 5x + 2

2. When x - 1 is negative:

-(x - 1) = 5x + 2

Case 1

x - 1 = 5x + 2

Combine like terms:

4x = -3

x = -3/4

Case 2:

-(x - 1) = 5x + 2

-x + 1 = 5x + 2

Combine like terms

-6x = 1

x = --1/6