Mathematics
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OpenStudy (anonymous):
4(j-7)=12
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OpenStudy (anonymous):
@Butterfly16
jimthompson5910 (jim_thompson5910):
Hint:
either distribute to get
4j - 28 = 12
or
divide both sides by 4 to get
j - 7 = 3
OpenStudy (anonymous):
Wouldn't it be 4j-28=12
jimthompson5910 (jim_thompson5910):
thats one way to go, what do you get when you solve that
OpenStudy (anonymous):
Yeah
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OpenStudy (anonymous):
I add 28?
geerky42 (geerky42):
Yes.
geerky42 (geerky42):
Then divide both sides by 4.
OpenStudy (anonymous):
Ok thank you :)
geerky42 (geerky42):
Glad we helped.
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OpenStudy (anonymous):
7(2p+3)-8=6p+29
OpenStudy (anonymous):
14p+21-8=6p+29 ?
jimthompson5910 (jim_thompson5910):
good so far
jimthompson5910 (jim_thompson5910):
what's next
OpenStudy (anonymous):
Subtract 6p?
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jimthompson5910 (jim_thompson5910):
yep
jimthompson5910 (jim_thompson5910):
14p+21-8=6p+29
14p+21-8 - 6p = 29
then what
OpenStudy (anonymous):
8p+21-8=29?
jimthompson5910 (jim_thompson5910):
good, next step?
OpenStudy (anonymous):
Add 8? I don't know
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jimthompson5910 (jim_thompson5910):
or you can combine 21-8 to get 13
this gives you
8p+13 = 29
then you can subtract 13 from both sides to get
8p = 29-13
OpenStudy (anonymous):
Ohh
jimthompson5910 (jim_thompson5910):
so 8p = 16
p = ??
OpenStudy (anonymous):
2
jimthompson5910 (jim_thompson5910):
you got it
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OpenStudy (anonymous):
:)
OpenStudy (anonymous):
3x-9=7.5+5x
OpenStudy (anonymous):
Butterfly!! :)
OpenStudy (anonymous):
Haha here I am :o)
3x-9=7.5+5x
What do we do first? I know you know it :o)
OpenStudy (anonymous):
subtract 5x?
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OpenStudy (anonymous):
Think of it like this: 3-5 or 5-3? :o)
OpenStudy (anonymous):
5-3
OpenStudy (anonymous):
-9=7.5+2x
OpenStudy (anonymous):
Fantastic! Now, solve for x! Tell me what you do next :o)
OpenStudy (anonymous):
add 9?
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OpenStudy (anonymous):
Nope. Remember, when you take from one side, you must take from the side with the x. So instead, take the 7.5 from the side with the x. :o)
OpenStudy (anonymous):
Ohh so -7.5
OpenStudy (anonymous):
You got it! :o)
OpenStudy (anonymous):
x=-8.25
OpenStudy (anonymous):
Great job! I knew you could do it. :o)
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OpenStudy (anonymous):
a-5/10=2a-3/5
OpenStudy (anonymous):
a=1/10
OpenStudy (anonymous):
\[\frac{ a-5 }{ 10 }=\frac{ 2a-3 }{ 5 }\]
Cross multiply :o)
\[10(2a-3)=5(a-5)\] Distribute
\[20a-30=5a-25\]\[15a-30=-25\]\[15a=5\]\[a=\frac{ 5 }{ 15 }\]\[a=\frac{ 1 }{ 3 }\]
Do you see how I got that? :o)
OpenStudy (anonymous):
Wait which do I cross multiply?
OpenStudy (anonymous):
For the original equation, you're first going to cross multiply. So, a-5 times the 5, and then the 2a-3 times the 10.
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OpenStudy (anonymous):
I'm still not seeing it :/
OpenStudy (anonymous):
I have some family coming over in 15 minutes and I have to go with them to town. Will you be on later so we can do this later?
OpenStudy (anonymous):
Yup, I'll type up some instructions on that one and message it to you for when you get back. :o)
OpenStudy (anonymous):
Ok thank you! Talk t you soon :)