3y + 2 = 4x , x+ 5y = 3 what is the solution to the system of equations shown above? (in fraction form)

Answers

Answer 1
We have x+5y=3 => x= 3-5y
So 3y+2=4x
<=>3y+2=4(3-5y)
<=>3y+2=12-20y
<=>3y+20y=12-2
<=>23y=10
<=>y=10/23 => x=3-5(10/23)=19/23

Ok done. Thank to me :>
Answer 2

Answer:

19/23, 50/23

Step-by-step explanation:

We can take the first equation and isolate the x:

x + 5y = 3 ⇒ -5y ⇒

x = 3 - 5y.

Then we can substitute the x in the first equation by this:

3y + 2 = 4(3-5y) ⇒

3y + 2 = 12 - 20y ⇒ +20y

23y + 2 = 12 ⇒ -2

23y = 10 ⇒ ÷23

y = [tex]\frac{10}{23}[/tex]

Then we can add the value of y into the equation equaling x we made:

x = 3 - 5([tex]\frac{10}{23}[/tex]) ⇒

x = 3 - [tex]\frac{50}{23}[/tex] ⇒

x = [tex]\frac{19}{23}[/tex]

Hope this helps! :)


Related Questions

Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

40

47

70

Answers

Answer:

Andrea has 70

Step-by-step explanation:

7 is the tens place that would make it 70

Answer:

47

Step-by-step explanation:

Given:

473 scented stickers

To Find:

How many tens of stickers does Andrea have?

Solution:

To find the answer divided 473 by 10 = 47.3

That mean Andrea have 47 tens of stickers.

Therefore the answer is 47

Find the range of the function.
f(x) = -7x2 – 3
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Answers

Answer:

its x: x< -3

Step-by-step explanation:

ya

What is the value of y?

Answers

Answer:

40°

Step-by-step explanation:

We know that a triangle is equal to 180°

Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)

If we use 40° then 2·(40°) = 80°

and the second angle is 40° + 10° = 50°

if we add all the angles (80° + 50° + 50°) we get 180° which is correct.

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

A number is max of 6

Answer: A number is a minimum of 6

Step-by-step explanation:

The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.

Written as a rate, 15 miles in 10 hours would be ____ miles per hour.

Answers

Answer:

1.5 mph

Step-by-step explanation:

To find the Unit Rate, you need to divide 15 miles by 10 hours to get the # of miles per hour.

15/10 = 1.5

1.5 miles per hour.

Question is in Spanish. Please explain you answer :)

Answers

Answer:

Every number on the left is multiplied by 8 to equal the number on the right.

Step-by-step explanation:

Please help mee please plese

Answers

Answer:

C=66, C=25 1/7

Step-by-step explanation:

i

C=pi(d)

C=22/7*21

C=66

ii

C=pi(d)

C=22/7*16

C=25 1/7

7 Mathexcellup logo

I answered the question and got it right.

"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False

Answers

Answer:

This is True

Step-by-step explanation:

I know this because it is like dividing you just divide 15 by 5 and the it will be equal

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Answers

Answer:

I think it would be A??? idfk man

the shown bellow question answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Are of the given figure is ~

[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The area of the compound shape is equal to ~

Area of rectangle + Area of semi - circle

let's find the Area of rectangle ~

[tex]length \times width[/tex]

[tex]11 \times 4[/tex]

[tex]44 \: \: {cm}^{2} [/tex]

now, let's find the Area of Semicircle ~

[tex] \dfrac{ \pi{r}^{2} }{2} [/tex]

[tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex]

[tex]6.28 \: \: c {m}^{2} [/tex]

So, Area of the given figure is equal to ~

[tex]44 + 6.28[/tex]

[tex]50.28 \: \: cm {}^{2} [/tex]

if f(n) = -6n + 2, find t 5/6

Answers

So you need to add 6n with +2 then 5-7

If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.

Answers

Answer:

the answer to your question Is B $5,378

A car's value depreciates by 18% in its first year and is now worth £6789.
What was the original price of the car?

Answers

Answer:

  £8279.27

Step-by-step explanation:

The given relationship is ...

  (original price) × (1 - 18%) = £6789

Dividing by the coefficient of the original price, we find it to be ...

  original price = £6789/0.82 = £8279.27

The original price of the car was £8279.27.

Which of these sets of ordered pairs satisfies and expertise equation

Answers

Answer:

the answer would be C guys

On a certain hot​ summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

a = 242  adult and  c = 52 children

Step-by-step explanation:

Solving as a system of equations.

a = adult

c = children

The adult and the children equal 294 people

  a + c = 294

adult cost is 2.25 per adult

Total amount of adult is 2.25a because the number of adult are not given.

children cost is 1.75 per children

Total  amount children is 1.75c because the number of children  are not given

Total receipts $635.50.

a + c = 294                         multiply by -1.75           -1.75a - 1.75c = - 514.50

2.25a + 1.75c = 635.50     does not change           2.25a + 1.75c =  635.50

Add these equations together

-1.75a - 1.75c = - 514.50

2.25a + 1.75c =  635.50    

.50a              =   121.00

   a = 121.00/.50a

   a = 242  adult

a + c = 294

242 + c = 294

         c = 294 - 242

          c = 52 children

Check:    $2.25(242) + $1.75( 52) = $635 .50

              $544.50 + $91.00 =  $635.50

                   $635.50 = $635.50

Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?

Answers

Answer: Let x = length (in cm) of the decreasing leg at time t seconds

Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶

Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.

*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

A)

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

B)

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

What are the coordinates of point A?

o (5, 1)

(1, 5)

O (-1, 5)

Answers

Answer:

(1, 5)

Step-by-step explanation:

x  is 1 to the right

y is 5 up

Therefor

(1, 5)

The given bar graph shows the number of rooms, bathrooms, fireplaces, and elevators in the building.
Combined, there are 199 rooms, bathrooms, fireplaces, and elevators. The number of rooms exceeds the
number of bathrooms and fireplaces by 68. The difference between the number of fireplaces and elevators is
23. If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47. Determin
the number of rooms, bathrooms, fireplaces, and elevators in the building.

Answers

Using a system of equations, it is found that there are:

132 rooms.38 bathrooms.26 fireplaces.3 elevators.

For the system, we have that:

The number of rooms is x.The number of bathrooms is y.The number of fireplaces is z.The number of elevators is w.

Combined, there are 199 rooms, hence:

[tex]x + y + z + w = 199[/tex]

The number of rooms exceeds the  number of bathrooms and fireplaces by 68, hence:

[tex]x = y + z + 68[/tex]

The difference between the number of fireplaces and elevators is  23, hence:

[tex]z - w = 23[/tex]

If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:

[tex]2y = z + w + 47[/tex]

Replacing the third equation into the fourth:

[tex]z = 23 + w[/tex]

[tex]2y = z + w + 47[/tex]

[tex]2y = 23 + w + w + 47[/tex]

[tex]2y = 2w + 70[/tex]

[tex]y = w + 35[/tex]

Then, from the second equation:

[tex]x = y + z + 68[/tex]

[tex]y + z = x - 68[/tex]

We can solve for w, considering that:

[tex]y = w + 35[/tex]

[tex]z = 23 + w[/tex]

[tex]y + z = x - 68[/tex]

[tex]x = y + z + 68[/tex]

[tex]x = w + 35 + w + 23 + 68[/tex]

[tex]x = 2w + 126[/tex]

[tex]x + y + z + w = 199[/tex]

[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]

[tex]5w + 184 = 199[/tex]

[tex]5w = 15[/tex]

[tex]w = \frac{15}{5}[/tex]

[tex]w = 3[/tex]

Then, solving for the other variables:

[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]

[tex]y = w + 35 = 3 + 35 = 38[/tex]

[tex]z = 23 + w = 23 + 3 = 26[/tex]

There are:

132 rooms.38 bathrooms.26 fireplaces.3 elevators.

A similar problem is given at https://brainly.com/question/17096268

0.36 in simpliest form with the line over the 6

Answers

Answer:

11/30

Step-by-step explanation:

Let x = 0.366666666.....

Then

100x = 36.6666666....

10x =     3.6666666...

subtracting 100x - 10x eliminates the trailing 6s

90x = 33

divide both sides by 90

x = 33/90

reduce

x = 11/30

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Answers

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4x+y=8
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With what I have to say about the way that you are going on the way back and forth between you and me and I have a

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The answer is G which is 16.

Step-by-step explanation:

To solve the problem multiply 25/125 times 80.

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Answers

A is 0.43%
B is 5.4 I hope this help

Answer:

0.43%

5.4

Step-by-step explanation:

To convert 0.0043 to a percentage, multiply the number 0.0043 by 100

0.43%

In decimal form, 540 percent equals

5.4

A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?

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Answer:

1st option

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What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9) Number line from negative 8 to positive 8 in increments of 1 is shown. Only the even numbers are labeled. A point labeled P is placed at the seventh tick mark to the left of 0. Numerical Answers Expected!

Answers

Answer:

-7

Step-by-step explanation:

there are 16 increments in total, and half are labeled

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-7

Step-by-step explanation:

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Answer:

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What question did you eat the last day?

3x+15+2x+20 help pls solve for x​

Answers

Answer:

[tex]\boxed{\boxed{\sf 5x+35}}[/tex]

Step-by-step explanation:

[tex]\sf 3x+15+2x+20[/tex]

→ Combine like terms:

[tex]\sf 3x+2x+15+20[/tex]

[tex]\sf (3x+2x)\leadsto5x[/tex][tex]\sf (15+20)\leadsto 35[/tex][tex]\sf 5x+35[/tex]____________________________________
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