Mathematics
12 Online
OpenStudy (anonymous):
Solve each system using substitution.
y= 3x +11
y= -2x +1
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OpenStudy (anonymous):
This means the same thing as y = 3x + 11 AND y = -2x + 1
myininaya (myininaya):
hey! :)
3x+11=-2x+1
can you solve this?
OpenStudy (anonymous):
So you can set them equal, as myininaya has done.
OpenStudy (anonymous):
yea
myininaya (myininaya):
:)
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OpenStudy (anonymous):
so all i havta to is solve that euation?
myininaya (myininaya):
basically
myininaya (myininaya):
solving that equation will give us x
myininaya (myininaya):
and then when we get x we plug it into one of the equations given to find y
myininaya (myininaya):
therefore finding the point of intersection (x,y)
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myininaya (myininaya):
so if you want to try to solve for x
i will do the same
and i can tell you if you are right
but if you run into trouble we can solve together okay?
OpenStudy (anonymous):
Ok :)
OpenStudy (anonymous):
3x+11=-2x+1
+2x +2x
5x+11=1
-11 -11
5x= 12
___ ____
5 5
myininaya (myininaya):
so 1-11 is 12 ?
myininaya (myininaya):
what is 11-1?
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OpenStudy (anonymous):
oh sryy
OpenStudy (anonymous):
-10
myininaya (myininaya):
perfect! :)
myininaya (myininaya):
so we have 5x=-10
OpenStudy (anonymous):
x= -2
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myininaya (myininaya):
brilliant! :)
now plug this into one of the equations given to find y
like this
y=3(-2)+11
myininaya (myininaya):
i just replaced x with -2 since x=-2
myininaya (myininaya):
now you are to simplify 3(-2)+11 to find y
OpenStudy (anonymous):
y=6 ?
myininaya (myininaya):
well 3(-2)+11 is y
i just mean simplify lol
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myininaya (myininaya):
-6+11=11-6=5 right?
OpenStudy (anonymous):
right,
OpenStudy (anonymous):
so y=5
OpenStudy (anonymous):
(-2,5) correct?
myininaya (myininaya):
that is totally correct
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OpenStudy (anonymous):
Thank you!! XD
myininaya (myininaya):
if you had used the other equation you still would have got same thing by the way
myininaya (myininaya):
great job! you get a medal!
OpenStudy (anonymous):
Your the best!, thanks :D
myininaya (myininaya):
I know.
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myininaya (myininaya):
Thanks. lol