Mathematics
7 Online
OpenStudy (anonymous):
solve for x: 3x - 7 + 4x = 42
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OpenStudy (anonymous):
combine like terms on the left side;
add 7 to both sides;
then divide by the coefficient of x to both sides.
OpenStudy (anonymous):
still need help?
OpenStudy (anonymous):
I'm trying to get this. can you show work and all steps
OpenStudy (anonymous):
what you got when you combine 3x + 4x?
OpenStudy (anonymous):
3apples + 4apples = ???
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OpenStudy (anonymous):
7x
OpenStudy (anonymous):
ok.. what you did is combine like terms on the left side.
now your equation looks like this:
7x - 7 = 42
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
the next step is to add 7 to both sides of the equal sign... what u got now?
OpenStudy (anonymous):
14 = 49
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OpenStudy (anonymous):
the right side is correct.. but the left side isn't...
OpenStudy (anonymous):
here's the left side
OpenStudy (anonymous):
7x-7+7
OpenStudy (anonymous):
so the left gots to be 0.
OpenStudy (anonymous):
7apples - 7 + 7 = ???
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OpenStudy (anonymous):
7
OpenStudy (anonymous):
lemme put it this way..
OpenStudy (anonymous):
using associative property...
OpenStudy (anonymous):
7x - 7 + 7
7x + (-7 + 7)
can you simplify what's in the parenthesis?
OpenStudy (anonymous):
-14
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OpenStudy (anonymous):
so it should be 0.
OpenStudy (anonymous):
If you owe 7 pennies and somebody gives you 7 pennies. How many pennies do you have?
OpenStudy (anonymous):
none
OpenStudy (anonymous):
Yes 0!
OpenStudy (anonymous):
thats what I said befor but I was erong
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OpenStudy (anonymous):
But you still have 7x on the left side of your = sign
OpenStudy (anonymous):
what did you have on the right side of the = sign?
OpenStudy (anonymous):
7x=?
OpenStudy (anonymous):
49
OpenStudy (anonymous):
7x=49
7x is like saying 7 times x
divide both sides by 7 now
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OpenStudy (anonymous):
x=?
OpenStudy (anonymous):
can 7/ into 49
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
its 7
x=7
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
wow I did it.. thank you very much
OpenStudy (anonymous):
No problem! Good job!
OpenStudy (anonymous):
how about this one? 4x - 5 = x + 13
OpenStudy (anonymous):
You need to get x on only one side of the = sign
OpenStudy (anonymous):
start by subtracting x from both sides. What will that leave you with?
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OpenStudy (anonymous):
so I should have 3x
OpenStudy (anonymous):
Yep...
3x.....what?
OpenStudy (anonymous):
3x -5 = 13
OpenStudy (anonymous):
Good....since 5 is negative you need to add 5 to both sides now
OpenStudy (anonymous):
3x = 18
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OpenStudy (anonymous):
yep...what do you think you should do now to figure out x?
OpenStudy (anonymous):
/ 3 on each side
OpenStudy (anonymous):
Yep! You're good to go now!
OpenStudy (anonymous):
x = 6
OpenStudy (anonymous):
Exactly
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OpenStudy (anonymous):
your awesome, I'm glad you took the time to teach me a few things
OpenStudy (anonymous):
Thanks! Hope it helped!
OpenStudy (anonymous):
it sure did, but I have another problem I did not understand
OpenStudy (anonymous):
Okay
OpenStudy (anonymous):
7( x + 2) + 3 ( x - 3) = 25
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OpenStudy (anonymous):
Okay...do you know how to distribute?
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
So lets just work with the first part of the equation: 7(x+2)
OpenStudy (anonymous):
You want to "distribute" the 7 into the parenthesis
OpenStudy (anonymous):
7x +2
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OpenStudy (anonymous):
7x is right, but what about the 2?
OpenStudy (anonymous):
or should it be 7x + 14
OpenStudy (anonymous):
Yes! 7x + 14!
OpenStudy (anonymous):
and I do the same with 3( x - 3)
OpenStudy (anonymous):
Now lets work with the second part of the equation: 3(x-3)
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OpenStudy (anonymous):
Yes...do the same
OpenStudy (anonymous):
7x + 14 + 3x - 9 = 25
OpenStudy (anonymous):
Yes!
7x +14 + 3x - 9= 25
Let's clean up the left side now.
if you combine the x factors and the numbers what do you get?
OpenStudy (anonymous):
10x + 14 - 9 = 25
OpenStudy (anonymous):
yes...but what is 14 - 9?
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OpenStudy (anonymous):
lol, idk I though it had to be in there
OpenStudy (anonymous):
10x + 5 = 25
OpenStudy (anonymous):
Yep! How do we get 10x by itself on the left of the = sign?
OpenStudy (anonymous):
-5 on both sides
OpenStudy (anonymous):
Good! Do that :)
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OpenStudy (anonymous):
ok so my answer should be x = 2
OpenStudy (anonymous):
Yes :)
OpenStudy (anonymous):
once again we did it
OpenStudy (anonymous):
Good job
OpenStudy (anonymous):
now it time for graphs for me
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OpenStudy (anonymous):
Good luck! I really dislike graphing. :)
OpenStudy (anonymous):
Gotta go
OpenStudy (anonymous):
ok thanks later