Solve the following system of equations.
5x-7y=17
−7x+9y=−19
x=___
y=___
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OpenStudy (anonymous):
we can do it, it is going to take a couple steps and the answer is messy
if you want the y terms to drop out, multiply the first equation all the way across by \(9\) and the second all they way across by \(7\)
let me know what you get
OpenStudy (princesssleelee):
what?
OpenStudy (anonymous):
multiply each term in \[2x-7y=17\] by \(9\)
OpenStudy (anonymous):
oops i meant in \[5x-7y=17\]
OpenStudy (princesssleelee):
18x-63y=153
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OpenStudy (princesssleelee):
45x
OpenStudy (anonymous):
right
OpenStudy (princesssleelee):
-49+81=-133
OpenStudy (anonymous):
\[45x-63y=153\]
OpenStudy (anonymous):
now multiply each term in the next equation by \(7\)
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OpenStudy (princesssleelee):
i did
OpenStudy (princesssleelee):
-49+81=-133
OpenStudy (anonymous):
\[7\times 9=63\]
OpenStudy (anonymous):
not 81
OpenStudy (princesssleelee):
sorry i was thinking 9x9 still lol
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OpenStudy (anonymous):
i know
OpenStudy (anonymous):
u should get \[-49x+63y=-133\]
OpenStudy (princesssleelee):
correct
OpenStudy (anonymous):
you have now \[45x-63y=153\\
-49x+63y=-133\] now add in a column and the y terms will go bye bye
OpenStudy (princesssleelee):
what lol
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OpenStudy (anonymous):
add the first line and the second line
OpenStudy (anonymous):
what is \(45x-49x\)?
OpenStudy (princesssleelee):
x=-10/47?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
did you see the link i sent?
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OpenStudy (princesssleelee):
lol yes
are those correct?
OpenStudy (anonymous):
yes technology is wonderful
OpenStudy (anonymous):
you can see what i wrote in the link, just copied and pasted what you wrote, but put a comma between them
OpenStudy (princesssleelee):
ok no they are not you copied and pasted the last question that i wrote incorrectly, the 5x is not negative. its x=-5
y=-6