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Licemer1 [7]
3 years ago
15

2x+4y=36 6x+2y=3 Ordered pair

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

Step-by-step explanation:

2x+4y=36 - equation 1

6x+2y=3 - equation 2

from equation 1,

2x + 4y = 36

2x = 36 - 4y

x = 36/2 - 4y/2

x= 18 - 2y - equation 3

insert equation 3 into equation 2

then, 6x+2y=3

therefore, 6(18 - 2y) + 2y = 3

               108 - 12y + 2y = 3

              108 -10y = 3

              108 - 3 = 10y

               105 = 10y

               y = 105/10

               y = 10.5

in solving for x, insert    y = 10.5 into equation 1

therefore, 2x+4y=36

                 2x + 4 (10.5) = 36

                 2x + 42 = 36

                2x = 36 - 42

                2x = -6

                x = -6/2

 therefore x= -3

Ordered pair, x= -3 and y = 10.5

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A store had 112 diet sodas. The ratio of diet sodas to regular sodas was 8:4. How many regular sodas were there?
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Answer:

56

Step-by-step explanation:

There are two ways the answer to this question can be determined

<u><em>Method 1 : the fast method </em></u>

We know that 8 is twice 4

4 x 2 = 8

The ratio of diet soda = 8

the ratio of regular sodas = 4

Diet sodas = 112

the number of regular sodas = 112 / 2 = 56

<u><em>Method 2 : The long method </em></u>

I would first determine the total number of diet and regular sodas. Let the total number be represented by d

from the question, the following equation can be derived :

(8/12) x d = 112

divide both sides of the equation by 12/8 to determine the value of d

d = 112 x (12/8) = 168

We can now derive a value for the number of regular soda

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(4/12) x 168 = 56

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3 years ago
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