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ivolga24 [154]
2 years ago
13

Can somebody help me find the answer to this problem please ?

Mathematics
2 answers:
malfutka [58]2 years ago
7 0

Answer:

D. x = -2y + 4

Step-by-step explanation:

4x + 8y = 16

Solve for x

Our objective here is to isolate x ( in other words we want to get x by itself ) using inverse operations.

So let's begin

4x + 8y = 16

First we want to get rid of 8y

Notice how 8y is being added to 4x

Well we can get rid of it by applying it's inverse operation. The opposite of addition is subtraction. So to get rid of 8y we would simply subtract 8y.

Important note! Whatever we do to one side we must do to the other

So we would subtract 8y from both sides

4x + 8y - 8y = 16 - 8y

The 8y on the left hand side cancels out and the 8y on the right side stays as it is as you can't subtract 8y from 16

We then have 4x = 16 - 8y

Next we want to get rid of 4 from 4x.

4x is the same as 4*x which is multiplication

The inverse of multiplication is division so to get rid of the 4 we divide both sides by 4

4x/4 = (16-8y)/4

4x/4 = x

16-8y/4 ( simply divide 16 by 4 and -8y by 4 )

16-8y/4 = 4 - 2y

We're left with x = 4 - 2y which can also be written as x = -2y + 4

brilliants [131]2 years ago
5 0

Answer:

Step-by-step explanation:

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Margaret [11]

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

8 0
2 years ago
Plz help!!! ASAP! GIVE BRAINLIEST AND GIVING POINTS!!!!!
Studentka2010 [4]

Answer:

-8

Step-by-step explanation:

-8m⁴ n⁴

m = 0.5 = 1/2

n = 2

Substitute

-8 * (1/2)⁴ * (2)⁴

-8 * (1/16) * (16)

-8

4 0
2 years ago
If 14 people show up to a cookout and you make 21 hot dogs, how many will you need to make if 105 people up?
Oksanka [162]

Answer:

Step-by-step explanation:

let x = number of  of hot dogs that 105 people  will do

therefore

14 people = 21 hot dogs

105 people = x hot dogs

14 x 105 people = 21 x Xhotdogs

1470 = 21X

divide through by 21

1470/21 = 21X/21

70 = X

X = 70

therefore,

105 people will makev 70 hot dogs

7 0
3 years ago
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the length of a rectanglr exceeds its width by 5 inches, and the area is 84 square inches. what are the length and width of a a
irga5000 [103]

The area is the product of length and width, which is to say that the length and width are factors of the area.

Assuming the dimensions are integers, you want factors of 84 that differ by 5.

... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12

The last of these pairs differ by 5, so ...

  • the length is 12 inches
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8 0
3 years ago
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What’s the surface area of the figure
Karo-lina-s [1.5K]

Answer:444

Step-by-step explanation:

1/2 time base times height times 4

And then base times height times 4

add them together

7 0
3 years ago
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