Algebra-2

To solve the equation |5x - 1| = 14, we will break it down into cases.

Step 1: Set Up Cases for Absolute Value

The equation |5x - 1| = 14 can be separated into two cases:

1.Case 1:

5x - 1 = 14

 

2.Case 2:

5x - 1 = -14

 

Step 2: Solve Each Case

For Case 1:

5x - 1 = 14

Add 1 to both sides:

5x = 14 + 1

5x = 15

Now, divide by 5:

x = 3

 

For Case 2:

5x - 1 = -14

Add 1 to both sides:

5x = -14 + 1

5x = -13

Now, divide by 5: