anonymous
  • anonymous
|3+9c| -19 = -1 im supposed to solve and write the solution set. |3+9c| -19 = -1 i added 19 to both sides |3+9c|= 18 i subtracted 3 from both sides 9c= 15 i divided both sides by 9 and reduced so now i have c= 5/3 then i solved for the positive case: |3+9c| -19 = 1 added 19 on both sides |3+9c| = 20 subtracted 3 from both sides 9c = 17 divided both sides by 9, so now i have c= 17/9 so the solution set should be written as: {17/9, 5/3} right? but the website im doing my work on says this is incorrect and i have no idea what i did wrong?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathstudent55
  • mathstudent55
|3+9c| -19 = -1 Step 1: Add 19 to both sides: |3+9c| = 18 Step 2: take care of the absolute value sign by separating the equation into two equations separated by the word "or". 3 + 9c = 18 or 3 + 9c = -18 Subtract 3 from both sides: 9c = 15 or 9c = -21 Divide both sides by 9: c = 15/9 or c = -21/9 Reduce the fractions: c = 5/3 or c = -7/3
anonymous
  • anonymous
OHHHH oh my god. that makes a lot of sense THANK YOU!
mathstudent55
  • mathstudent55
You're welcome. You can only separate the absolute value equation into two cases (what you called the positive case and the other case you left unnamed) after you have only an absolute value equaling a number. In your case above, you still had the -19 on the left side when you dealt with the "positive"case. That why your second equation is a different equation from the original equation and gave an incorrect answer.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

mathstudent55
  • mathstudent55
To solve an absolute value equation of the form |X| = k, where X (notice capital X) is an expression in x, and k is a non-negative number, solve the compound equation: X = k or X = -k Notice that you must have only |X| on the left side, just the absolute value of an expression in x (or whatever variable you have).
anonymous
  • anonymous
okay wow that is very helpful-- thank you so much. I have another problem that's a bit different but i kept doing the same thing i was doing for the previous problem from it. it's |5x-16| = |9x+15| i still have to solve and write the solution set, but since it's different i wouldnt use the same method that you showed me to solve the other problem right?
mathstudent55
  • mathstudent55
|5x-16| = |9x+15| Start like we did in the problem before: 5x-16 = |9x+15| or 5x-16 = -|9x+15| Multiply both sides of the right equation by -1 to isolate the absolute value. 5x-16 = |9x+15| or -(5x-16) = |9x+15| Now do the same process again (keep in mind the absolute value is the right side): 5x-16 = 9x+15 or -(5x-16) = 9x+15 or -(5x-16) = 9x+15 or 5x-16 = 9x+15 Now we have 4 equations above. Notice that equations 1 and 4 are the same. Also, equations 2 and 3 are the same. 5x-16 = 9x+15 or -(5x-16) = 9x+15 -4x = 31 or -5x + 16 = 9x + 15 x = -31/4 or -14x = -1 x = -31/4 or x = 1/14
anonymous
  • anonymous
okay, this is a lot clearer now. thank you so much for your help!

Looking for something else?

Not the answer you are looking for? Search for more explanations.