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Yakvenalex [24]
3 years ago
11

14x+10y=72 14x+4y=96 Solve the following system of equations using any method

Mathematics
1 answer:
Anarel [89]3 years ago
5 0
    14x + 10y = 72
    14x +   4y = 96
                6y = -24
                 6       6
                  y = -4
    14x + 10y = 72
14x + 10(-4) = 72
       14x - 40 = 72
             + 40 + 40
              14x = 112
               14      14
                  x = 8
            (x, y) = (8, -4)
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the ratio of horses to chickens on a farm is 9:4. If there are a total of 169 animals, how many chickens are on the farm?
Evgesh-ka [11]

Answer:

<h2> 52 chickens</h2>

Step-by-step explanation:

Step one:'

given

we are told that the total number of animals is 169

the ratio of horses to chickens= 9:4

total ratio= 13

Required:

number of chickens

Applying part to all principle, let the number of chickens be x

4/13=x/169

cross multiply

4*169=13*x

divide both sides by 13

x=4*169/13

x=676/13

x=52

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Answer:

k = 25

Step-by-step explanation:

(2x  - sqrt(k) )^2              Expand this as a binomial                          

4x^2 - 4x*sqrt(k) + k      The middle term must be -20x Solve for k so it is

-4xsqrt(k) = - 20x            Divide by -4x

sqrt(k) = -20x/-4x             Do the division

sqrt(k) = 5                         Square both sides

k = 25


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