How do you rewrite the absolute value equation as two linear equations? |x-3|=2
Use the knowledge that what is inside the absolute value signs could either be positive or negative and the absolute value would be positive. So the two equations is setting what is inside the absolute value signs to the positive or negative value.
x - 3 = +2
x - 3 = -2
Noticed I used OR, because either equation provides a solution to the original problem. That means both solutions are in the solution set.