Question

The first step to solving an absolute value equation is to write it as two separate equations.

Suppose |5x - 6| = 13∣5x−6∣=13.

What are the two separate equations that follow from this absolute value equation?


5x - 6 = 13 or -5x - 6 = 135x−6=13



5x - 6 = 13 or5x - 6 = -135x−6=13



5x - 6 = 13 or 5x + 6 = 135x−6=13



5x - 6 = 13 or -5x + 6 = -135x−6=13 or −5x+6=−13

Answer 1

5x - 6 = 13 or -5x + 6 = -135x−6=13 or −5x+6=−13

Explanation:

» An absolute value covers both the positivity and negativity of a number.

» Consider ±x to be absolute:

`{ \tt = x}`