i need help solve each equation. check your solution y-6/y=5 5/3p+2/3=5+p/2p

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i need help solve each equation. check your solution y-6/y=5 5/3p+2/3=5+p/2p

Mathematics
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rational equation
|dw:1328670179691:dw| Is that the first one?
yess

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i really dont understand how to do this
O.K Multiply thru by y getting y-6 = 5y 5y-y=-6 4y=-6 y=-6/4 = -3/2 = -1 1/2
Did you follow that with understanding?
imm sorry u wrote the equation wrong
|dw:1330225757998:dw|
OH I see. Now multiply the equation thru by y getting \[y ^{2}-6=5y\]With me so far?
nopee
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?
mhmmm
|dw:1328670943075:dw|
Do you see how the second term becomes a -6?
no how
and finally 5*y= 5y Do you know how to multiply? What grade are you in?
yes and in 10th grade
ohhh i get it nowww
|dw:1328671370618:dw|
soo wats the next step
|dw:1328671430551:dw| What part of this multiplication you do not understand?
nooooo i understandd
whats the next step
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
okm theres the next onee
so would you multiply 3
|dw:1330227284130:dw|
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.
yesss so for the next problem would you multiply by 3p?
Let me look that over
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.
ok
|dw:1328672483382:dw|
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.
where did 15 come from?
its -8 not -4
The 15 came from multiplying (6p/2p)-(5+p)|dw:1328673206774:dw|
ohhh ok
what is -8 ?? Multiply (-2/3)(6p)=-4p
ohh ok
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?
yesss
|dw:1328673792581:dw| I will use your drawing to check out the answer
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.
Agree?
ohh ok next problem
Post the problem in the ask a question side.
|dw:1330229287420:dw|
That way it gets more exposure and that is the preferred policy of open study.
yess agreed
I believe I can answer that one, but post it on the ask a question and I will meet you there.
ok thnk u

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