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Sindrei [870]
3 years ago
6

PLEASE HELP QUESTION ATTACHED

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
8 0
(6,3) the one selected is correct
goldfiish [28.3K]3 years ago
8 0

Answer:

(6,3)

Step-by-step explanation:

x + 3y = 15

4x + 2y = 30

This system of equations can either be solved by elimination method or substitution method or both

We are going to use both method to solve this system of education

First we are gong to use elimination method to find the value of y

x + 3y = 15 -------------(1)

4x + 2y = 30 -----------(2)

Using the elimination method, to eliminate x, we want to make coefficients of x the same, to do that we multiply equation (1) by 4

4x + 12y =60 --------------(3)

subtract equation (2) from equation (3)

(4x-4x =0        12y - 2y = 10y        60 -30=30 )

We will have;

10y = 30    

Divide 10 by both-side of the equation

10y/10  =  30/10

y = 3

We will use substitution method to get the value of x,

We will now substitute y=3 in  equation (1)

    x + 3y = 15

      x  + 3(3) = 15

    x + 9  = 15

Subtract 9 from both-side of the equation

x +9 - 9 = 15 -9

x    =  6

The solution to the system of the equations is x=6 and y =3

(6, 3)

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A. Complete the table if y varies
serious [3.7K]

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

<em>y = 30 </em>

<em>y = 30 k = 6</em>

<em>y = 30 k = 6x = 5</em>

<em>y = 30 k = 6x = 5Equation: y = 6x</em>

y = k × x

y = 10 × 8

y = 80

So,

<em>y = 80 </em>

<em>y = 80 k = 10</em>

<em>y = 80 k = 10x = 8</em>

<em>y = 80 k = 10x = 8Equation: y = 10x</em>

y = 3x

18 = 3x

x = 18/3

x = 6

So,

<em>y = 18</em>

<em>y = 18k = 3</em>

<em>y = 18k = 3x = 6</em>

<em>y = 18k = 3x = 6Equation: y = 3x</em>

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

<em>y = 72</em>

<em>y = 72k = 2</em>

<em>y = 72k = 2x = 6</em>

<em>y = 72k = 2x = 6Equation: y = 2x²</em>

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

<em>y = 5</em>

<em>y = 5k = 30</em>

<em>y = 5k = 30x = 6</em>

<em>y = 5k = 30x = 6Equation: y = 30/x</em>

y = k/x

y = 36/4

y = 9

So,

<em>y = 9</em>

<em>y = 9k = 36</em>

<em>y = 9k = 36x = 4</em>

<em>y = 9k = 36x = 4Equation: y = 36/x</em>

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

<em>y = 20</em>

<em>y = 20k = 60</em>

<em>y = 20k = 60x = 3</em>

<em>y = 20k = 60x = 3Equation: y = 60/x</em>

y = 24/x

y = 24/12

y = 2

So,

<em>y = 2</em>

<em>y = 2k = 24</em>

<em>y = 2k = 24x = 12</em>

<em>y = 2k = 24x = 12Equation: y = 24/x</em>

Read more:

brainly.com/question/472621

3 0
3 years ago
The radius of the circle 24 yd?
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Answer:

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Step-by-step explanation:

7 0
3 years ago
73,404+27,865 what does it equal
leonid [27]
It is 101,269 that is the answer for your quistion
7 0
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Does anybody know the correct answer?
d1i1m1o1n [39]

Answer:

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Step-by-step explanation:

hope it helped

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Alaine has 1 gallon of paint . She is going to pour it into a tray of paint that measures 10 inches wide ,12 inches long , and 5
r-ruslan [8.4K]
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Since a gallon is 231 cubic inches, it will just fit into the tray.
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7 0
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