Transform the absolute value equations into two linear equations. |x-10|=17

Answer 1

x-10 = 17

x=27

union

-(x-10) = 17

-x =7

x = -7

solution set is {-7} U {27} = {-7,27}

Answer 2

abs(x-10) = 17

Equation #1

x - 10 = 17

x = 27

Equation #2

x - 10 = -17

x = -7

x = 27 OR x = -7