# How do you solve #abs(7-y)=4#?

##### 1 Answer

Apr 4, 2018

y = 3 and y = 11

#### Explanation:

Because we are taking the absolute value of

and

This is because taking the absolute value of both equations will yield the same answer. Now all we do is solve for y in both cases

and

We can plug both values into the original function to demonstrate this.

Both cases are true, and we have two solutions for y