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I don't how to solve this equation

 

-2|7 - 9c| + 7 = -15

 

 Apr 26, 2020
 #1
avatar+463 
+2

Hi guest!

 

First off, we can start by subtracting 7 from both sides. We then get \(-2|7-9c|=-22\)

 

Then, we can divide both sides by -2. Now, we have \(|7-9c|=11\).

 

Since there are the absolute value brackets, there are 2 different scenarios:

\(7-9c=11\), AND \(7-9c=-11\). Now we just solve for both equations.

 

\(7-9c=11\)

\(-9c=4\)

\(c=-\frac{4}{9}\)

 

AND

 

\(7-9c=-11\)

\(-9c=-18\)

\(c=2\)

 

So, the final answer is \(\boxed{c=2 \text{ AND } c=-\frac{4}{9}}\)

 

I hope this helped you, guest!

If you have any questions, don't hesitate to ask!

:)

.
 Apr 26, 2020
edited by lokiisnotdead  Apr 26, 2020
 #2
avatar+109527 
0

Very nicely answered Loki  laugh

Melody  Apr 26, 2020
 #3
avatar+463 
+1

thanks Melody! :)

lokiisnotdead  Apr 26, 2020

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