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kolezko [41]
3 years ago
6

Solve the following system of equations by substitution and select the correct answer below:

Mathematics
2 answers:
Bingel [31]3 years ago
6 0

Answer:


Step-by-step explanation:

2x-8y=32

Alexxx [7]3 years ago
5 0
Okay so for substitution, chose one of  of the equations to solve for x. Let's solve for the second one. So you have 2x-8y=32.
Start by adding 8y to both sides:
 2x=8y+32.
Then you have to get x by itself so you divide both sides by 2 which will give you:
 x=4y+16.

Now you have:
6x-4y=36
x=4y+16 (this was 2x-8y=32)

Now, plug in the second equation to the first one. You would do so by plugging in the second equation to where you see x. You would have:
6(4y+16)-4y=36

Now, multiply the 6 with the 4y and 16. you would then have:
24y+96-4y=36.

Now, combine your like terms to get:
20y+96=36
Then subtract 96 to both sides:
20y=-60
Then divide both sides so that you have y all by itself:
y=-30!

You now have the answer for y, so now plug what you got for y into the other equation: x+4y=16: 
x+4(-30)=60
Solve for x:
x-120=60 
add 120 to both sides:
x=180!
so Your answer is Y=-30 and X=180

I hope this helped:)


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Step-by-step explanation:

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nata0808 [166]

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(-2,-3) and (3,2)

Step-by-step explanation:

sub in x-1 into y

x^2 + (x-1)^2 = 13

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plug in those values into y=x-1 and solve for y

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3 years ago
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A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e
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To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.

V = 4/3 x pi x r^3
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729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

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3 years ago
The City Housing Authority has received 50 applications from qualified applicants for eight low-income apartments. Three of the
OlgaM077 [116]
The probability that both specific qualified applicants will be among the eight selected is given by:
P(2\ specified)=\frac{2C2\times 48C6}{50C8}=0.0229
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P(North)=\frac{3C2\times5C0}{8C2}=0.107
The probability that the two will get apartments on the South side is given by:
P(South)=\frac{5C2\times3C0}{8C2}=0.357
The events '2 apartments on North side' and '2 apartments on South side' are mutually exclusive. Therefore the probability the two specific qualified applicants will be on the same side of town is 0.107 + 0.357 = 0.464.
Finally, the probability that two specific qualified applicants will be selected for apartments on the same side of town is found from:
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3 years ago
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