anonymous
  • anonymous
i need help solve each equation. check your solution y-6/y=5 5/3p+2/3=5+p/2p
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
rational equation
radar
  • radar
|dw:1328670179691:dw| Is that the first one?
anonymous
  • anonymous
yess

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anonymous
  • anonymous
i really dont understand how to do this
radar
  • radar
O.K Multiply thru by y getting y-6 = 5y 5y-y=-6 4y=-6 y=-6/4 = -3/2 = -1 1/2
radar
  • radar
Did you follow that with understanding?
anonymous
  • anonymous
imm sorry u wrote the equation wrong
anonymous
  • anonymous
|dw:1330225757998:dw|
radar
  • radar
OH I see. Now multiply the equation thru by y getting \[y ^{2}-6=5y\]With me so far?
anonymous
  • anonymous
nopee
radar
  • radar
You are going to multiply all terms by y in order to eliminate the denominator. \[y \times y=y ^{2}\] Did you follow on the first term?
anonymous
  • anonymous
mhmmm
radar
  • radar
|dw:1328670943075:dw|
radar
  • radar
Do you see how the second term becomes a -6?
anonymous
  • anonymous
no how
radar
  • radar
and finally 5*y= 5y Do you know how to multiply? What grade are you in?
anonymous
  • anonymous
yes and in 10th grade
anonymous
  • anonymous
ohhh i get it nowww
radar
  • radar
|dw:1328671370618:dw|
anonymous
  • anonymous
soo wats the next step
radar
  • radar
|dw:1328671430551:dw| What part of this multiplication you do not understand?
anonymous
  • anonymous
nooooo i understandd
anonymous
  • anonymous
whats the next step
radar
  • radar
So we are now back to \[y ^{2}-6=5y\] Subtracting 5y from both sides we get\[y ^{2}-5y-6=5y-5y=0\]This is a quadratic equation that can be factored and easily solved.\[y ^{2}-5y-6=0\] (y-6)(y+1)=0 y=6 y=-1 those are the two answers. Your problem say to check your work
anonymous
  • anonymous
okm theres the next onee
anonymous
  • anonymous
so would you multiply 3
anonymous
  • anonymous
|dw:1330227284130:dw|
radar
  • radar
Checking y -6/y=5 6 -6/6=5 6-1=5 5=5 that checks. -1-6/-1=5 -1+6=5 5=5 that checks too.
anonymous
  • anonymous
yesss so for the next problem would you multiply by 3p?
radar
  • radar
Let me look that over
radar
  • radar
First lets put all terms containing p on the left. 5/(3p)-(5+p)/(2p)=-2/3 This was done by subtracting 2/3 from both sides.
anonymous
  • anonymous
ok
radar
  • radar
|dw:1328672483382:dw|
radar
  • radar
Multiply all terms by 6p eliminate the denominator\[10-15-3p =-4p\]Please double check my work here as I go and let the dogs in.
anonymous
  • anonymous
where did 15 come from?
anonymous
  • anonymous
its -8 not -4
radar
  • radar
The 15 came from multiplying (6p/2p)-(5+p)|dw:1328673206774:dw|
anonymous
  • anonymous
ohhh ok
radar
  • radar
what is -8 ?? Multiply (-2/3)(6p)=-4p
anonymous
  • anonymous
ohh ok
radar
  • radar
Let us continue: combining similar terms we now have: -5 - 3p =-4p adding 5 and adding 4p to both sides gives us p=5 that is the answer that we must check out. You feel up to it?
anonymous
  • anonymous
yesss
radar
  • radar
|dw:1328673792581:dw| I will use your drawing to check out the answer
radar
  • radar
5/(3*5) + 2/3 = (5+5)/2*5 5/15 +2/3 = 10/10 1/3 +2/3 = 1 1=1 5 is the correct answer.
radar
  • radar
Agree?
anonymous
  • anonymous
ohh ok next problem
radar
  • radar
Post the problem in the ask a question side.
anonymous
  • anonymous
|dw:1330229287420:dw|
radar
  • radar
That way it gets more exposure and that is the preferred policy of open study.
anonymous
  • anonymous
yess agreed
radar
  • radar
I believe I can answer that one, but post it on the ask a question and I will meet you there.
anonymous
  • anonymous
ok thnk u

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