Question

|x|+6=13--------------------------------

Answer 1

|х|+6=13

13-6=|х|

|х|=7

Х=7,-7

Answer 2

To solve the equation |x| + 6 = 13, you'll need to isolate the absolute value term and find the possible values of x. Remember that the absolute value of a number is always positive, so it essentially removes the sign from the value inside the absolute value bars.

Let's proceed step by step:

Step 1: Move the constant term to the other side of the equation: |x| = 13 - 6 |x| = 7

Step 2: Now, you need to consider two cases for the absolute value, one with a positive value inside the absolute value bars and one with a negative value inside the absolute value bars.

Case 1: x is positive inside the absolute value bars If x is positive, then |x| is simply equal to x: x = 7

Case 2: x is negative inside the absolute value bars If x is negative, then |x| is equal to the negation of x: -x = 7

Now, solve for x in Case 2: x = -7

So, there are two solutions to the equation: x = 7 and x = -7.