SOLUTION: Solve each absolute value equation a. |x-5|=3

Question 174181This question is from textbook algebra 1
: Solve each absolute value equation
a. |x-5|=3 This question is from textbook algebra 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 3 and it's opposite -3

Now lets focus on the first equation

Add 5 to both sides

Combine like terms on the right side

Now lets focus on the second equation

Add 5 to both sides

Combine like terms on the right side

So the solutions to are:

and

Notice if we graph and (just set each side equal to y and graph), we get

Graph of (red) and (green)

and we can see the two graphs intersect at and . So this verifies our answer.

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