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igor_vitrenko [27]
3 years ago
7

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = -x + 21 y = -2

x + 30
Mathematics
1 answer:
Kamila [148]3 years ago
4 0
-x+21=-2x+30
-x+2x=-21+30
x=9
-(9)+21=12


y=12
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PLEASE HELP
Lemur [1.5K]

1. y=6

2. y=-12

Step-by-step explanation:

<u>1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.</u>

It is given that

y varies inversely as x

IT will be written as:

y∝1/x

Removing the proportionality symbol

y=k/x

Given

y=3 , x=-2

Putting the values

3=k/-2

k=3*-2 = -6

The equation will be:

y=-6/x

So,

When x=-1

y=\frac{-6}{-1}\\y=6

<u>2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4</u>

y is directly proportional to x

y∝x

y=kx

Given

y=15, x=-3

Putting the values

y=kx\\15=-3k\\k=\frac{15}{-3}\\k=-5\\The\ equation\ will\ be:\\y=-3xNow,\\x=4\\y=-3(4)\\y=-12

Hence,

1. y=6

2. y=-12

Keywords: Proportion, Variation

Learn more about proportion at:

  • brainly.com/question/5009365
  • brainly.com/question/5013374

#LearnwithBrainly

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Answer:

A. 201.6 = 11.2f

Step-by-step explanation:

we solve for each unknown to verify which equality will require the division property:

#A. 201.6 = 11.2f

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Hence, multiplication property used.

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Hence, multiplication property used.

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201.6=11.2+c\\\\201.6-11.2=c\\\\c=190.4

Hence, subtractionproperty used.

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