Question

Solve for the variable. Show all work. |-3 + k| = 10

Answer 1

`k = 13` or
`k = -7`

Explanation:

The following equation:

`| -3 + k | = 10`

-Switch sides:

`| k - 3 | = 10`

-There are two equations from the following equation:

Equation 1:

`k - 3 = 10`

Equation 2:

`k - 3 = -10`

-Solve equation 1:

`k - 3 = 10`

`k - 3 + 3 = 10 + 3`

`k = 13`

-Solve equation 2:

`k - 3 = -10`

`k - 3 + 3 = -10 + 3`

`k = -7`

Answers:

`k = 13` or
`k = -7`