Which of the following is a solution to the system of two equations 4x + y = 51 and 2x – 6y = 6?

Answers

Answer 1

Answer:

The solution to the system of equations given is:

y = 3x = 12

Step-by-step explanation:

First, we must see our two equations given:

4x + y = 512x – 6y = 6

We can use the reduction method, with this, we must eliminate a variable, in this case, de x variable, this can do multiply the equation 2 by (-2) and add the two equations:

(2x – 6y = 6)*(-2) = (-4x+12y = -12)

     3. -4x+12y = -12

Now, we operate the equations 1 and 3:

(4x + y = 51) + (-4x+12y = -12) = (13y = 39) "The variable x dissapears because   4x - 4x = 0"

     4. 13y = 39

We solve the equation 4 and obtain the value for "y":

13y = 39y = 39/13y = 3

With the value of "y," we can replace this value in equation 1 or 2 to obtain the value of "x," in this case, we're gonna use the equation 1:

4x + y = 514x + 3 = 514x = 51 - 34x = 48x = 48/4x = 12

In this form, we know the solution to the system of two equations is: x = 12 and y = 3.


Related Questions

Cameron is going to an amusement park. The price of admission into the park is $20, and once he is inside the park, he will have to pay $4 for every ride he rides on. How much money would Cameron have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on r rides?

Answers

Answer:

If he goes on 7 rides he will play $48

The equation if he goes on r rides is $20+$4r

Step-by-step explanation:

Answer:

48

20(4r)

Step-by-step explanation:

20+(4×7)=48

Hope this helps!

Please mark me brainliest if possible. :)

Kathy is planning a party. She decides to serve pizza to her guests and estimated that she will need 12 pizzas with 8 slices each. If each person eats 3 pieces, then how many people cans she serve.

Answers

Answer:

32 people can she serve

Step-by-step explanation:

12x8=96

96 divided by 3=32

Im getting kicked out the house if i fail this please help

Answers

Answer:oop I put the answer in da wrong play my bad have a good day or night

Step-by-step explanation:

M=2

The Hurry-Mart convenient store is re-stocking their shelves. They always stock the m&m to Hershey bars at a ratio of 10 to 8. How many Hershey bars do they need if they have 15 bags of m&ms ?

Answers

Answer:

12 Hershey bars

Step-by-step explanation:

if its 10 to 8 and you have 15 m&m then you would have to do the 10 which you would have to put 8 then 5 is half of 10 so you would just half 8 which is 4 so 8+4+12. 12 Hershey bars needed to restock the shelf.

1/3 as a percent I REALLLLYY NEED GOUR HELPP

Answers

Answer:

33% or 33.3% or 33.33%

Step-by-step explanation:

1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...

But you can write it as 33% or 33.3% or 33.33%

Urgent help need it plz help ​

Answers

Answer: x = 9

Explanation:

Add the three angles up, and equal them to 180, as a triangle has 180*.

(13x + 2) + (3x - 4) + (5x - 7) = 180
Add together the like terms.
13x + 3x + 5x = 21x
2 + (-4) + (-7) = 9

21x + 9 = 180
21x = 189 (subtract 9 from both sides)
x = 9 (divide 21 from each side)

Solve the equation. b/6 = 3 b=​

Answers

B = 18. Yoh would multiply 6 to 3 which is 18

Answer:

b = 18

Step-by-step explanation:

We do the inverse operation thing:

3 x 6 = 18

We can check it by filling it in:

18/6 = 3

So b = 18

Click on the correct answer.
One morning it rains 1/2 inch. That afternoon it rains another 1/3 of an inch.
What is the total amount of rainfall?
1/6 of an inch
2/6 of an inch
2/5 of an inch
5.6 of an inch

Answers

5/6 is the answer so I guess the last one.

I need the answer ASAP

Answers

Answer: Its a rational number

Step-by-step explanation: All repeating decimals are rational :)

It’s the one you picked.

A game is packaged in a box. Each game cube has a side length of 3 inches. How many
games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet?

Answers

Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Answers

Answer:

0.986

Step-by-step explanation:

Probability of at least one being vac = 1 - Probability of all 5 not vac

1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986

The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.

Given that in a population, 57% people were vaccinated.

5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.

To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.

The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.

So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.

The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.

Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:

P(Not Vaccinated) = 0.43⁵ = 0.043855

The probability that at least one of them has been vaccinated is the complement of the above probability:

P(at least one vaccinated) = 1 - P(not vaccinated)

= 1 - 0.043855 = 0.956145

Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.

Learn more about probability click;

https://brainly.com/question/31828911

#SPJ4

Can you please help me

Answers

X = 70 and y = 35, I hope this helps
The answer is Y=35 and x=70

aight anyone plz help lol

Answers

Answer:

okkokokokokokoookkijoiig

It's 8/5 because 1.5+3 = 5+3

Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.

Answers

x(4*1) because I’m just doing what I’m told.

25. (REI.5) What is the value of y in the
following system of equations?
3y = 2x-6
x + y = 8
A. 2
B. 6
C. -2
D. -6

Answers

I think it’s b my guy

Answer:

6

Step-by-step explanation:

x +y = 8

-x. -x

y = 8 - ×

substitute into the 1st equation

3(8 - x) = 2x - 6

24 - 3x = 2x - 6

+6. +6

30 - 3x = 2x

+3x. +3x

30 = 5x

÷ by 5

x = 6

Rosa is making bracelets to sell at the craft fair.
Yesterday she made 36 in 8 hours. Find k the
(constant of proportionality) and write the rule
(equation) for this relationship.

Answers

9514 1404 393

Answer:

  k = 4.5

  y = 4.5x . . . y bracelets in x hours

Step-by-step explanation:

The constant of proportionality is the "unit rate", the number of bracelets per hour.

  k = bracelets/hours = 36/8 = 4.5

The constant of proportionality is 4.5 (bracelets per hour).

__

The equation of a proportional relationship is ...

  y = kx

For this relationship, ...

  y = 4.5x . . . . . . y bracelets in x hours

please answer quickly!!!

Answers

Answer:

[tex]c=20[/tex]

Step-by-step explanation:

The diagonals of a rectangle always bisect each other. Therefore, we can set [tex]QT=ST[/tex]:

[tex]c=4c-60,\\-3c=-60,\\c=\fbox{20}[/tex]

what is -2(3x + 12y - 5 - 17x - 16y + 4)

Answers

Answer:

−2(3x+12y−5−17x−16y+4)

=(−2)(3x+12y+−5+−17x+−16y+4)

=(−2)(3x)+(−2)(12y)+(−2)(−5)+(−2)(−17x)+(−2)(−16y)+(−2)(4)

=−6x−24y+10+34x+32y−8

=28x+8y+2

(~ ̄▽ ̄)~           -Have a wonderful day-

A recycling bin in the shape of a rectangular prism has a volume of 9,720 cubic
inches. The base area of the recycling bin is 324 square inches. What is the height
of the recycling bin?
A. O 10 inches
B. O 15 inches
C. O 30 inches
D. O 36 inches

Answers

Answer:

YOUR MOM IS THAT BIG

Step-by-step explanation:

LOL

For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?

1a. What does the variable "x" represent?

1b. What equation represents this word problem?


1c. What is the solution to the word problem?


(Please help me with this quiz)

Answers

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

Help plz will do BRAINLIEST!!!!!!

Answers

Answer:

125  56 − x 7

Step-by-step explanation:

1/2-3/8/1/3+4/7(5- 1/4 x)

I will give brainiest to whoever answers correctly !!

Answers

Answer:

2.4

Step-by-step explanation:

The formula you would use is: A = P(1 + rt)

P is the principal which is $270

r is the interest rate

t is the time in years but we have 11 days so 11/360

A is $19.8

let's put the values in the formula

$289.9= $270(1 + r*(11/360))

you will find the r is 2.4

PLEASE ANSWER ITS DUE IN 5 MINUTES!! What is the are of the figure?

Answers

Answer

Cut out the shapes, and then multiply them.

Step-by-step explanation:

what are two ratios that are equivalent to 1:1​

Answers

Answer:

2:14 and 3:21

Step-by-step explanation:

???????????????????????????

Answers

Answer:

-9

Step-by-step explanation:

Add the following lengths:
2' 8"
+ 1' 6"

Answers

Answer:

4 ft, 2 in

Step-by-step explanation:

2 ft, 8 in plus 1 ft, 6 in = 3 ft, 14 in

there are 12 inches in a foot

3 ft, 14 in equals 4 ft, 2 in

Answer:

4' 2" inches (rounded)

Step-by-step explanation:

2' 8" + 1' 6" = 4.16666667 feet (exact number)

4.16666667 ≅ 4' 2"

metalworker has a metal alloy that is 25​% copper and another alloy that is 70​%
copper. How many kilograms of each alloy should the metalworker combine to create 50kg of a 52​% copper alloy

Answers

x = amount (kg) of 25% coper alloy

y = amount (also kg) of 70% copper alloy

Each kilogram of the 25% alloy contains 0.25 kg of copper, while each kilogram of the 70% alloy contains 0.7 kg of copper. When combined, the metalworker ends up with (x + y) kg of an alloy that should consist of 52% copper, so that it contains 0.52 (x + y) kg of copper.

The metalworker wants to make 50 kg of this new alloy, so that

x + y = 50

of which 52%, 0.52 (50 kg) = 26 kg, is copper, so

0.25x + 0.7y = 26

Solve for y in terms of x :

y = 50 - x

Substitute this into the other equation and solve for x :

0.25x + 0.7 (50 - x) = 26

0.25x + 35 - 0.7x = 26

9 = 0.45x

x = 20   →  y = 30

If Julie had 10 bags of apples that has 5 apples in it and she took out 3 apples from 1 bag, how many apples does she have

Answers

Answer:

47 apples

Step-by-step explanation:

50 apples - 3 apples

47 apples

Answer:

56 apples

Step-by-step explanation:

In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

Consider the exponential function g(x) = 1,296x .

Find the output values for x-values x = –1.75, –1, –0.25, 0, 0.25, 0.50, 0.75, and 1.

Answers

Answer:

g(-1)=1/1296

g(.25)=1/6

g(0)=1

g(.25)=6

g(.50)=36

g(.75)=216

​g(1)=1,296

:)

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