Answer:
[tex]k = 13[/tex] or [tex]k = -7[/tex]
Step-by-step explanation:
The following equation:
[tex]| -3 + k | = 10[/tex]
-Switch sides:
[tex]| k - 3 | = 10[/tex]
-There are two equations from the following equation:
Equation 1:
[tex]k - 3 = 10[/tex]
Equation 2:
[tex]k - 3 = -10[/tex]
-Solve equation 1:
[tex]k - 3 = 10[/tex]
[tex]k - 3 + 3 = 10 + 3[/tex]
[tex]k = 13[/tex]
-Solve equation 2:
[tex]k - 3 = -10[/tex]
[tex]k - 3 + 3 = -10 + 3[/tex]
[tex]k = -7[/tex]
Answers:
[tex]k = 13[/tex] or [tex]k = -7[/tex]