SOLUTION: solve each equation or inequality |x+142|=81

Algebra ->  Absolute-value -> SOLUTION: solve each equation or inequality |x+142|=81      Log On


   

Question 174190This question is from textbook algebra 1
: solve each equation or inequality
|x+142|=81 This question is from textbook algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%28x%2B142%29=81 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

x%2B142=-81 or x%2B142=81 Set the expression x%2B142 equal to the original value 81 and it's opposite -81




Now lets focus on the first equation x%2B142=-81


x=-81-142Subtract 142 from both sides


x=-223 Combine like terms on the right side






Now lets focus on the second equation x%2B142=81



x=81-142Subtract 142 from both sides


x=-61 Combine like terms on the right side





So the solutions are:

x=-223 or x=-61