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Mathematics 22 Online
OpenStudy (anonymous):

4(j-7)=12

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

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.

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?

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

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

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?

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?

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)

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.

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 :)

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