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goblinko [34]
1 year ago
14

Jennifer and Jane are best friends. They placed a map of their town on a coordinate gridand found the point at which each of the

ir house lies. If Jennifer's house lies at (2, 12)and Jane's house is at (16, 2) and they wanted to meet in the middle, what are thecoordinates of the place they should meet?
Mathematics
1 answer:
koban [17]1 year ago
8 0

Given:

Jennifer and Jane are best friends. They placed a map of their town on a coordinate grid and found the point at which each of their house lies. If Jennifer's house lies at (2, 12) and Jane's house is at (16, 2) and they wanted to meet in the middle.

Required:

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Please answer
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bekas [8.4K]

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Create an equivalent system of these equations and test your solution <br> x + y = 1<br> x 3y =9
ad-work [718]
An equvilent equation
remember you can do anything to an equation as long asyou do it to both sides


assuming yo have
x+y=1 and
x-3y=9
mulitply both by 2
2x+2y=2
2x-6y=18
those are equvilent



ok, solve initial

x+y=1
x-3y=9
multiply first equation by -1 and add to 2nd equation


-x-y=-1
<u>x-3y=9 +</u>
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sub back
x+y=1
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x=3
y=-2
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if we test it in other one

2x+2y=2
2(3)+2(-2)=2
6-4=2
2=2
yep

2x-6y=18
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yep


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