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Mathematics 8 Online
OpenStudy (anonymous):

help!

OpenStudy (anonymous):

OpenStudy (anonymous):

hey conner...

OpenStudy (anonymous):

ya?

OpenStudy (anonymous):

anybody got an answer?

OpenStudy (anonymous):

\[63 + 55 + z = 180\] \[13x - 15 + z = 180\]

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?

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..

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):

.....?

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

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.

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?

OpenStudy (anonymous):

Thats it. x = 10, z = 65

OpenStudy (anonymous):

ok thank you much

OpenStudy (anonymous):

Np.

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