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Oksanka [162]
3 years ago
5

Solve this system of equations: (picture is there)

Mathematics
2 answers:
AlladinOne [14]3 years ago
8 0

Answer:

x = 2, y = 4

Step-by-step explanation:

We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)

Replace the y value in [x = -y + 6] with "2x", because y = 2x.

x = -2x + 6

From there, we can solve the linear equation.

x = -2x + 6

add 2x to both sides

3x = 6

divide by 3

x = 2

From x, we can also figure out what y equals.

Replace the x value in [y = 2x] with "2", because x = 2.

y = 2*2

y = 4

x = 2 and y = 4

kupik [55]3 years ago
7 0

Step-by-step explanation:

(x...y = (2...4)|

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One way is to find common factors

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8/6=4/3 because 8/6, 8 and 6 have common factor of 2 so divide that out to get 4/3
basically divide the LCM from each

so factor

we can combine 36m-48m into -12m
we have
-12m/6m

common factor is 6m
-12m/6m=(-2)/1 times (6m)/(6m)=-2 times 1=-2

answer is -2
3 0
3 years ago
A farmers productions statistics finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed
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Answer:

8 chickens

Step-by-step explanation:

Firstly, we need to know the number of eggs produced by a single chicken in 24 hours.

Since 2 chickens produce 6 eggs in 24hours, this means 1 chicken will produce 3 eggs in 24 hours.

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3 years ago
The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two
grandymaker [24]

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

<u>1) Construct equations</u>

  1. x+y=33 (The sum of two integers is 33)
  2. x=6+2y (The larger is 6 more than twice the smaller)

<u>2) Solve for one of the integer</u>

Isolate x in the first equation

x+y=33\\x=33-y

Plug the first equation into the second

33-y=6+2y

Combine like terms

33-6=2y+y\\27=3y\\9=y

Therefore, the smaller integer is 9.

<u />

<u>3) Solve for the other integer</u>

x+y=33

Plug in y (9)

x+9=33\\x=33-9\\x=24

Therefore, the larger integer is 24.

I hope this helps!

4 0
3 years ago
Read 2 more answers
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