SOLUTION: solve each equation or inequality |2x-6|=81

Algebra ->  Absolute-value -> SOLUTION: solve each equation or inequality |2x-6|=81      Log On


   

Question 174191This question is from textbook algebra 1
: solve each equation or inequality
|2x-6|=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%282x-6%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)

2x-6=-81 or 2x-6=81 Set the expression 2x-6 equal to the original value 81 and it's opposite -81




Now lets focus on the first equation 2x-6=-81


2x=-81%2B6Add 6 to both sides


2x=-75 Combine like terms on the right side


x=%28-75%29%2F%282%29 Divide both sides by 2 to isolate x



x=-75%2F2 Reduce






Now lets focus on the second equation 2x-6=81



2x=81%2B6Add 6 to both sides


2x=87 Combine like terms on the right side


x=%2887%29%2F%282%29 Divide both sides by 2 to isolate x



x=87%2F2 Reduce





So the solutions are:

x=-75%2F2 and x=87%2F2