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spin [16.1K]
4 years ago
9

Solve the system of linear equations below.

Mathematics
2 answers:
Anon25 [30]4 years ago
8 0
Asking the Math Gods...

y=6
x=2
Nat2105 [25]4 years ago
7 0

Answer:

Option (b) is correct.

x = 2 and y = 6 is the solution to the given system of linear equation.  

Step-by-step explanation:

Given: The system of linear equation

2x + 5y = 34

x + 2y = 14

We have to solve the given system of linear equations.

Consider the given system of linear equation

2x + 5y = 34  .....(1)

x + 2y = 14     .......(2)

We solve the syatem using elimination method,

Multiply equation (2) by 2, we get,

(2)  ⇒ 2x + 4y = 28  .....(3)

Subtract equation (1) and (3) , we have,

2x + 5y - (2x + 4y) = 34 - 28

Simplify, we get,

y = 6

And put y = 6 in (2), we get,

x + 2(6) = 14

x = 14 - 12

x = 2

Thus, x = 2 and y = 6 is the solution to the given system of linear equation.    

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Private colleges and university rely on money contributed
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Answer:

The point estimate for the mean endowment of all private colleges in the United States is 180.2125 million dollars.

Step-by-step explanation:

We are given endowments (in millions of dollars) of eight private colleges in the United States:

78.8, 50.3, 243.2,  489, 111.5, 163.7, 92.4, 212.8

We have to find the point estimate of the population mean endowment of all private colleges in the  United States.

The point estimate will be given by the sample mean.

\mu = \bar{x}

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1441.7}{8} = 180.2125

Thus, the point estimate is 180.2125 million dollars.

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Step-by-step explanation:

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