The required system of equations is 
Step-by-step explanation:
We need to write a system of linear equations that has the ordered pair (1,4) as it's solution.
It means we need to find system of linear equations, which after being solved gives x=1 and y=4
Let the system of equations be:

I have made equations such that adding x+y gives 5 i,e (1+4=5) and subtracting x-y gives -3 (1-4=-3)
Now solving this system of equations to find value of x:

Adding eq(1) and eq(2)

Putting value of x=1 into eq(1) to find value of y

The solution set after solving system of equations is (1,4).
The required system of equations is 
Keywords: System of equations
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101.25 , you add all the numbers up and divide by how many numbers set contains ... so 405/4=101.25
1560 / 26 = 60 words per minute
Answer:
Mean of resulting data = 7 times mean of original data=7a
Step-by-step explanation:
Given that all values in a data set are multiplied by 7. to find the mean of the new set.
Let {x1,x2....xn} be the original data set.
The mean of this data set a= 
Now multiply all values by 7
New data set
= {7x1, 7x2...7xn}
Sum of these = 7(x1+x2+..+xn) = 7 times sum of original data set
No of element = n for both the sets
Hence new mean = 7 * mean of original set.=7a
in other words, if the mean of the values in a data set is a. If each of the values in the data set were multiplied by 7, new mean would be 7a.
Answer:
Fifteen and six hundredths
Step-by-step explanation: