It should be 37y4+6y^2-2y^2+y-1
Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
<h3><u>
Solution:</u></h3>
Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
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7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Answer:
x=2 (-7 , then -5 for the drag part)
7,0 starts from 7 on the x-axis and stays there since it's 0. Then 0,7 starts from the origin on 0 and goes up 7.
Answer:
a)
Lowell: 4 counselors
Fairview: 9 counselors
b)
2 new counselors
Step-by-step explanation:
How many counselors should be assigned to each school using Hamilton's method?
Number of students
Lowell: 3584
Fairview: 6816
Total number of students: 10400
Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800
<u>Temporal assignment</u>
3584/800 = 4 + 0.48 ==> 4 counselors for Lowell
6816/800 = 8 + 0.52 ==> 8 counselors for Fairview
There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.
<u>Final assignment</u>
Lowell: 4 counselors
Fairview: 9 counselors
The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school
1824/800 = 2 + 0.28
<em>Two new counselors should be hired.</em>
