SOLUTION: 2|d+3|=8

Question 106713This question is from textbook Algebra 1
: 2|d+3|=8 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

Divide both sides by 2

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

or Set the expression equal to the original value 4 and it's opposite -4

Now lets focus on the first equation

Start with the given equation

Subtract 3 from both sides

Combine like terms on the right side

--------------------------------------------------------------
Answer:
So our answer is

Now lets focus on the second equation

Start with the given equation

Subtract 3 from both sides

Combine like terms on the right side

--------------------------------------------------------------
Answer:
So our answer is

So the solutions to are:

and

Notice if we graph (just replace d with x) 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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