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

The image is triangle ABC Clara says the two triangles are congruent because their angle measures are the same to you agree explain how you know

Answers

Answer:

Step-by-step explanation:

The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.

You need at least one properly placed side to make them congruent.

I NEED HELP!! Please

Answers

Answer:

Step-by-step explanation:

P represents the original price of the sandwich

1.5 represents the discount

Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8

Answers

Solution :

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

This is a valid probability distribution.

In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.

Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.

Valid probability models add up to 1

The probability is a valid probability model

The probability model is given as:

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

To determine if the model is a valid probability model, or not

We make use of:

[tex]\mathbf{\sum P(x) = 1}[/tex]

So, we have:

[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]

Add the probabilities

[tex]\mathbf{ 1= 1}[/tex]

The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]

Hence, the probability is a valid probability model

Read more about probability models at:

https://brainly.com/question/9965602

What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34

Answers

What was the answer

Answer:D

Step-by-step explanation:

A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar

Answers

Answer:7043.82

It would be 4200 x 1.09 which is the interest to the power of 6 for the number of years which would then give you 4200 x 1.09^6. This will then give the answer of 7043.82

What is the value of the expression ?

Answers

[tex]16 - 3(8 - 3) {}^{2} \div 5[/tex]ANSWER

[tex]1[/tex]EXPLANATION

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

#CarryOnLearning

A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?

Answers

9514 1404 393

Answer:

  80.67 fps

Step-by-step explanation:

1 mi/h = 22/15 ft/s

Multiplying this equation by 55, we get ...

  55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s

Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?

Answers

Answer:

$19,000 after five years

Step-by-step explanation:

1900 * .5 = 3800    one year

5 * 3800 = 19,000

1. If the spinner below is spun once, find each
probability.

Answers

Answer: P(4) - 4/12,1/3,33%,0.33

Step-by-step explanation:

My teacher went over the answers

What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km​

Answers

The area of figure will be;

⇒ 105.56 km²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The figure is shown.

Now,

The area of figure is find as;

Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)

               = 84 + 3.14 × 4 + 9

               = 93 + 12.56

               = 105.56 km²

Thus, The area of figure will be;

⇒ 105.56 km²

Learn more about the area visit:

https://brainly.com/question/11564229

#SPJ1

HELP!!! find the value of x

Answers

Answer:

don't know

.....................

Answer:

x = 12

Step-by-step explanation:

Consider three orthogonal triangles (see picture)

1. The smallest triangle

2. The medium triangle

3. The big triangle that holds both triangles.

All are orthogonal (or right triangles) so you can use Pythagoras Theorem:

"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"

Use Pythagoras theorem on triangle 1.

[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]

Now user Pythagoras on triangle 2.

[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]

Now use Pythagoras on triangle 3 (the big triangle).

[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]

Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:

[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]

The two [tex]x^{2}[/tex] get cancelled out, so:

[tex]6x + 9 = 45 + 36\\x = 12[/tex]

TA DA!

Which example shows the distributive property?
a. a (b + c) = ab +ac
b. (a + b) + 9 = a (9 + b)
c. a + a + a = 3a
d. a(0)

Answers

The answer A shows the distributive property. :)
A is the answer it shows the distributive property hope this helps

Help Pleaseeeeeeeeeeeeee!!!!!!!!! Help!!!!!!!

Answers

Answer:

i think its C and E

Step-by-step explanation:

( correct me if im wrong, i hope this helps!! )

I believe its C and E :))

PLEASE HELP ASAP!!!!!!!!!! IT WILL REALLY HELP

Answers

Answer:

whats the subject? science?

Step-by-step explanation:

A circular mirror has a diameter of 22 inches. Which measurement is closest to the area of the mirror in square inches

Answers

Answer:

379.94 square inches, or 379.94 in².

Step-by-step explanation:

The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.

Since the formula says r², 11 needs to be squared, or multiplied once by itself.  11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.

With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².

Let me know if I need to change or clarify anything. I hope this helps! :D

Answer:

19.6ft2

Step-by-step explanation:

What is -20 + 1/2 in a decimal form

Answers

Answer: The answer is -19.5

Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5

Answer:

the answer would be -19.5 :)

Step-by-step explanation:

Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved

Answers

Answer:

1/6 of the tomatoes

Step-by-step explanation:

So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall.  That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.

Answer:

2 and 21/32

Step-by-step explanation:

Which equation represents the line shown in the graph?
5.
4
3
2
1
-6 -5 -4 -3 -2 -1 0
2
4 5
6
-2
-3
-4
-5
-6

Answers

I don’t understand? Can u put like a picture and I’ll try to answer through the comments

What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is

Answers

Answer:

the slope is 4,3 and the y intercept is 2

Answer:

Niiger

Step-by-step explanation:

2 divided into 3 multiply 1 ​

Answers

Answer:

either 2/3

or 3/2

but its probably 2/3

thanks for the easy points!

Step-by-step explanation:


There are two x intercepts for y = (x + 2)(x - 1)
The first is
and the 2nd is

Answers

Answer:

(-2,0) and (1,0)

Hope this helps!

Find the restrictions on the variable.

Answers

Answer:

[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]

Step-by-step explanation:

x^2 + 4x - 45

= (x+9)(x-5)

x^2 + 10x + 9

= (x+9)(x+1)

So the fraction goes to

[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].

Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.

help pls due today thanks

Answers

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers

Answers

Answer:

im taking a nap

Step-by-step explanation:

Write fraction or mixed number as decimal 27/75

Answers

9/3. 5/14 hope that's the right awnser

0.36.  i just had this question and got it right. :)

Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =

Answers

Answer:

15%

5%

24%

40%

32%

80%

32%

54%

60%

66%

9%

89%

Step-by-step explanation:

Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.

Answers

Answer:

20:60 12:36 2:6

Step-by-step explanation:

The second number is going to be 3 times as big as the first ine

Please solve this problem

Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.

Write an equation that relates the total slices of pizza, T, to the number of guest, g.

Thanks

Answers

Answer:

3g + 8 = T

Step-by-step explanation:

3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.

Hope this helps :D

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!

Answers

the answer for this equation is x>30

which of the following is parallel to 8x+3y=1?
1. 3x-8y=1
2.3x+8y=5
3. 8x-3y=2
4.16x+6y=1

Answers

Answer:

4.16x+6y=1

Step-by-step explanation:

The given equation of the line is:

      8x + 3y  = 1

From this line, we need to re-arrange and write in the form of the equation of  a straight line.

        The equation of a straight line is given as:

         y  = mx + c

  8x + 3y  = 1

         3y = -8x + 1

          y  = [tex]\frac{-8x}{3}[/tex]  + [tex]\frac{1}{3}[/tex]  

 The slope of the line is [tex]\frac{-8}{3}[/tex]

  Any line from the given choices that will be parallel to the is must have the same slope as it is.

That line is 16x + 6y  = 1

                         6y  = -16x + 1

                            y = [tex]\frac{-16x}{6}[/tex]  + [tex]\frac{1}{6}[/tex]  

                           y = [tex]\frac{-8x}{3}[/tex]  +  [tex]\frac{1}{6}[/tex]  

                       

Other Questions
Write in index form3x * 3x * 3x * 3x X^2+ 2x 35 = 0? ............. what is the square root of 1225,1764,11025 which of these provided information about animal adaptations to climate change?a. fossilsb. ice coresc. tree ringsd. sea-floor sediment What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter? Tim and Jose are moving furniture. Tim pushes a 150 kg sofa with 300N force. As a result, Sofas acceleration was __________ according to Newtons Second Law of motion. (F = ma) Please help with this last one Select the correct answer. What falls in the gray area between living and nonliving things? A bacteria B. mold C. virus D. yeast Reset how many electrons does a covelent bond consist of? What is the equation of the line represented by the data in the table If -x - 3y = -8 and - 7x + 5y = 1 are true equations, what would be thevalue of 6x 8y? Find the value of 24/25 4/5. Explain your reasoning 10z + 3 =9z solve for z How has ocean conservancy helped the environment Will give crown! Please answer this CORRECTLY and please make it a decent paragraph. DON'T make it 1 sentence, at least a couple of sentences will do.Question: Rewrite the preamble of the U.S. Constitution in your own words, so people can understandThe preamble:We the people of the United States,in Order to form a more perfect Union,establish Justice,insure domestic Tranquility,provide for the common defence,promote the general Welfare,and secure the Blessings of Liberty to ourselves and our Posterity,do ordain and establish this Constitution for the United States of America. How many moles are in 2.5 g of N2?0.089 molesKD 0.18 moles1.3 moles11 moles Write down 4/4 positive and negative international influences on youand your friends. *. John pulled a black sock from his drawer. He has 5 black socks, 4 navy socks, and 6 brown socks left in the drawer. He picks another sock at random. What is the probability it matches the black one? A.1/6 C. 1/3 B. 1/5 D. 1/2 Re-write the quadratic function below in Standard formY= 3(x+1)(x3) rewrite or type the following paragraph, attaching each appositive to the proper sentence. Everyone needs to get away from his or her usual routine and take a vacation every once in awhile. Just last summer we stayed at Big Cedar. A beautiful resort with cabins and a lodge not far from Branson, Missouri. We stayed in one of the lodges gorgeous rooms. Decorated with deer antlers and antiques. Big Cedar is owned by Bass Pro Shops. A retailer of fine sporting goods located primarily in southern states. The resort has several restaurants and snack bars. A fine dining restaurant known for some of the best prime rib any- where. The Devils Pool Restaurant became our particular favorite place to eat during our stay. Staying at Big Cedar was a truly enjoy- able experience for us.