SOLUTION: Solve each absolute value equation b.|3x-7|=16

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Question 174182This question is from textbook algebra 1
: Solve each absolute value equation
b.|3x-7|=16 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%283x-7%29=16 Start with the given equation


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

3x-7=-16 or 3x-7=16 Set the expression 3x-7 equal to the original value 16 and it's opposite -16




Now lets focus on the first equation 3x-7=-16


3x=-16%2B7Add 7 to both sides


3x=-9 Combine like terms on the right side


x=%28-9%29%2F%283%29 Divide both sides by 3 to isolate x



x=-3 Divide






Now lets focus on the second equation 3x-7=16



3x=16%2B7Add 7 to both sides


3x=23 Combine like terms on the right side


x=%2823%29%2F%283%29 Divide both sides by 3 to isolate x



x=23%2F3 Reduce





So the solutions are:

x=-3 or x=23%2F3