Consider this system of linear equations:
22x − y = -23 (equation 1)
11x + 12y = 1 (equation 2)
To find the value of x, you need to substitute in equation 2.
The value of x is .
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OpenStudy (kidrah69):
ok well fist you need to get X equals or a y equals equation
OpenStudy (kidrah69):
Do you know how to do that?
OpenStudy (anonymous):
no
OpenStudy (kidrah69):
Hint: since the first one has a varible only and no number nxt to it it will be easier
OpenStudy (kidrah69):
\[-y=-22x-23\]
here i did that step now just divide everything by -1 to get a positive Y value
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OpenStudy (anonymous):
how would we get a positive out of this
OpenStudy (kidrah69):
\[\frac{ −y=−22x−23 }{ -1=-1-1~~ }\]
OpenStudy (kidrah69):
A negative times a negative is a positive same works for division
OpenStudy (anonymous):
wouldn't it be 22x and 23 because -1 can go into -22x 22 time right?
OpenStudy (kidrah69):
nope the equation stays the same the signs flip :P
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OpenStudy (anonymous):
i dont understand
OpenStudy (kidrah69):
\[y=22x+23\]
OpenStudy (kidrah69):
thats all
OpenStudy (anonymous):
okay but what about the value of x?
OpenStudy (kidrah69):
Well we have out equation ONE so now substitute!
\[11x + 12(22x+23) = 1 \]
this will get you the X value
Solve.
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OpenStudy (anonymous):
wouldn't it be 1
OpenStudy (kidrah69):
now 1 but -1
OpenStudy (anonymous):
oh so -1 is my answer
OpenStudy (kidrah69):
now all you do is plug the X value in equation 1
\[y=22(-1)+23\]
yes the x=-1