Mathematics
8 Online
OpenStudy (anonymous):
help!
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OpenStudy (anonymous):
OpenStudy (anonymous):
hey conner...
OpenStudy (anonymous):
ya?
OpenStudy (anonymous):
anybody got an answer?
OpenStudy (anonymous):
\[63 + 55 + z = 180\]
\[13x - 15 + z = 180\]
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OpenStudy (anonymous):
Solve either equation for either x or z, and plug back into the other.
OpenStudy (anonymous):
so for the top one its just 63+55 basically?
OpenStudy (anonymous):
Sorry, I typoed the first one. The first one should read 6x + 55 + z = 180
OpenStudy (anonymous):
oh ok but still how would you do that cause theres no like terms to combine
OpenStudy (anonymous):
Correct, but for instance, you can solve the 2nd equation for z very easily.
z = 195 - 13x.
Do you see that?
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OpenStudy (anonymous):
oh ya then its just 195 divided by 13?
OpenStudy (anonymous):
Ehm, no. But back in the first equation there is a z. So you can put 195 - 13x in for z in the first equation.
Now you have only x's there.
OpenStudy (anonymous):
wait so what do i plug in?
OpenStudy (anonymous):
Since z = 195 - 13x. Where the z appears in the first equation, put 195 - 13x instead.
This is substitution method.
OpenStudy (anonymous):
soooo z equals what im really confused here because your adding a whole othe quation to another one..
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OpenStudy (anonymous):
Ok, so back in the first equation:
Since z = 195 - 13x
\[6x + 55 + (195 - 13x) = 180\]
Do you see it?
OpenStudy (anonymous):
Combine like terms, you only have x's now.
OpenStudy (anonymous):
so 7x?
OpenStudy (anonymous):
then what?
OpenStudy (anonymous):
.....?
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OpenStudy (anonymous):
You can combine like terms to get 250 - 7x = 180.
Solve the equation.
OpenStudy (anonymous):
so 7 divied by 180?
OpenStudy (anonymous):
No, subtract the 250 from both sides...
-7x = -0.72
or
7x = 0.72
OpenStudy (anonymous):
ok.. now multiply....?
OpenStudy (anonymous):
theres no way the ange is .72
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OpenStudy (anonymous):
Sorry, no, I misread.
-7x = -70
or
7x = 70
OpenStudy (anonymous):
so now divide?
OpenStudy (anonymous):
yes.
OpenStudy (anonymous):
so x=10?
OpenStudy (anonymous):
Yes, now that you know x. You can plug 10 into wherever x appears in the SECOND equation.
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OpenStudy (anonymous):
so 115?
OpenStudy (anonymous):
Negative.
The second equation is 13x - 15 + z
So if you substitute 10 in for x here you have:
13(10) - 15 + z = 180
OpenStudy (anonymous):
ya 13 times 10 -15 is 115.
OpenStudy (anonymous):
Yes, but z is not 115.
You have 115 + z = 180
OpenStudy (anonymous):
sooo 65?
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OpenStudy (anonymous):
Thats it.
x = 10, z = 65
OpenStudy (anonymous):
ok thank you much
OpenStudy (anonymous):
Np.