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3 years ago

Solve the system of equation by the addition method x-2y=11 and -x+6y =-31

Mathematics

1 answer:

Sonbull [250]3 years ago

3 0

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

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The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R

Ilia_Sergeevich [38]

Answer:

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

$P(X)=P(X|R)P(R)+P(X|D)P(D)+P(X|I)P(I)\\= (0.34\times0.27)+(0.41\times0.56)+(0.25\times0.17)\\=0.3639$

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

$P(D|X)=\frac{P(X|D)P(D)}{P(X)} =\frac{0.41\times0.56}{0.3639}=0.6309$

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

5 0

2 years ago

Cate wants to buy calzones and sodas for her friends she finds that when she buys two calzones and three sodas she pays $13 when

IceJOKER [234]

Answer:

The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)

Step-by-step explanation:

Let c be the prize of calazone

Let s be the prize of soda

She buys two calzones and three sodas she pays $13

So, 2c+3s=13

She buys three calzones and two sodas she pays $17

So, 3c+2s=17

Plot the equations on graph

2c+3s=13 --- Green

3c+2s=17 --- Blue

Intersection point will give the intersection point

So,(c,s)=(5,1)

So, Option c is correct

The prices for a calzone and for soda as an ordered pair (c,s) is (5,1)

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3 years ago

Mathew basketball team won 68% of the games they played if they won 17 games how many did they play

STALIN [3.7K]

Answer:

Step-by-step explanation:

turn 68% into a decimal (or keep as a percentage, your choice) and divide

17 divided by 0.68 (68% as a decimal) = 25

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2 years ago

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nikitadnepr [17]

Answer:

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Step-by-step explanation:

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yulyashka [42]

Answer:

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2 years ago