cookiemonster2412
  • cookiemonster2412
I need help with absolute value equations!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
whats your question
cookiemonster2412
  • cookiemonster2412
\[\left| 6x+7 \right|=5x+2\]
anonymous
  • anonymous
hold on

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anonymous
  • anonymous
go to to mathway.com it gives u all s ure answers k?
cookiemonster2412
  • cookiemonster2412
I need it to be explained.
anonymous
  • anonymous
Okay, absolute value is never a negative. For example, -5's absolute value would be 5. Or -2's absolute value would be 2. http://www.purplemath.com/modules/absolute.htm This site should help on absolute value.
anonymous
  • anonymous
The first part is asking you to find the absolute value of 6x+7.
phi
  • phi
when doing this \[ \left| 6x+7 \right|=5x+2 \] either 5x+7 is positive or negative if it is zero or positive, we can drop the | | (they don't do anything) so step 1: solve 6x+7 = 5x+2
phi
  • phi
*either6x+7 is positive or negative
anonymous
  • anonymous
And it is positive.
phi
  • phi
can you solve for x in 6x+7 = 5x+2 ?
cookiemonster2412
  • cookiemonster2412
This is what I got. 6x+7=5x+2 or 6x+7=5x-2
phi
  • phi
just 6x+7=5x+2 add -5x to both sides add -7 to both sides
cookiemonster2412
  • cookiemonster2412
x=-5
phi
  • phi
now we check to see if that works 6x+7 with x= -5 6*-5+7 = -30+7 = -23 we assumed it was positive but we got a negative answer. not good but if we continue and check the other side \[ \left| 6x+7 \right|=5x+2 \\ |-23|= 5\cdot -5+2 \\ 23= -23 \text{ NO!} \]
phi
  • phi
now let's assume 6x+7 is negative if it is negative, then -1*(6x+7) will be positive so | 6x+7| is the same as -1*(6x+7) (both become positive) so let's solve \[ -1\cdot (6x+7) = 5x+2\]
cookiemonster2412
  • cookiemonster2412
x= -9/11
phi
  • phi
yes, and now we check this one 6x+7= 6*-9/11 + 7 = -54/11 + 77/11 = 23/11 5x+2 = 5*-9/11 + 22/11 = -45/11 + 22/11 = -23/11 we end up with 23/11 = -23/11 and that is not true. so there are no solutions for this problem
cookiemonster2412
  • cookiemonster2412
How do I graph this?
phi
  • phi
can you plot y=5x+2 ?
cookiemonster2412
  • cookiemonster2412
I'm supposed to graph it on a number line.
phi
  • phi
First, are you sure we have the correct problem? can you double check?
cookiemonster2412
  • cookiemonster2412
All it says is to solve and graph the equation.
phi
  • phi
yes, but are you sure it is | 6x+7| = 5x+2
cookiemonster2412
  • cookiemonster2412
I'm sure.
phi
  • phi
in that case, there is no solution you can't graph "no solution" you can say there is none.
cookiemonster2412
  • cookiemonster2412
Okay. Thank you.

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