mitchelsewbaran
Write a system of equations for the following situation.
Sharon has some $1 bills and some $5 bills. She has 14 bills which total to a value of $30.



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Kuoministers
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let $1 = x and $5 = y ok?
so 1x + 5y = 30
now that is one equation

mitchelsewbaran
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right

Kuoministers
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any idea what the 2nd one is?

mitchelsewbaran
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14x+14y=30?

Kuoministers
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x + y = 14

Kuoministers
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now we use a method to find x and y?
which do you like ^^
elimination?
substitution?

mitchelsewbaran
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the 1st one

Kuoministers
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awsome (so much easier)
x + 5y = 30
x + y = 14
we subtract x from x vertically.
4y = 16

mitchelsewbaran
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y=4

Kuoministers
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now i hope you can figure it out.
once you find y sub y into the equation

mitchelsewbaran
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isnt that for the substitution method?

Kuoministers
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nope

Kuoministers
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we use the elimination then we sub y into the equation

Kuoministers
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if we did substitution we would make y the subject then get y THEN we would sub y into equation to get x

mitchelsewbaran
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which equation should i plug the 4 in for y?

Kuoministers
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any :)

Kuoministers
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x + y = 14 would just be easier though

mitchelsewbaran
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ok ill go for that.
I got 10 for x

Kuoministers
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good so we can conclude x = 10 and y = 4

mitchelsewbaran
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srry i didn't get the 2nd equation when u asked :(

Kuoministers
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mhm what equation?

Kuoministers
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x + y = 14?

mitchelsewbaran
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yea

Kuoministers
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well there is some $1 and $5 bills yea... and they add to 14.
we said that $1 is x and $5 is y.
so x + y is equal to 14.

mitchelsewbaran
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ok

Kuoministers
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thank you!!