Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24

She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.

Step 3: 4x + y = 24

4(5) + y = 24

20 + y = 24
-20 -20

y = 4




Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)


+ 12x + 3y = 72
14x = 70

→ x = 5



Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.

Step 3: 4x + y = 24

4x + 4 = 24
-4 -4

4x = 20

x = 5


Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)


Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28

→ y = 4



“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”

If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions






Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn $500 per week to support his family. If he knows he will only be able to work 50 hours per week, what is the minimum amount of dollars per hour that he will need to charge his customers?

Answers

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

Answer:

$10

Step-by-step explanation:

$500/50= 10

He needs to earn $10 an hour x the 50 hours = $500

Determine a series of transformations that would map Figure N onto Figure O

Answers

Answer:

Reflect over x-axis. Then translate up 5 units.

An international company has 23,200 employees in one country. If this represents 26.7% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.

Answers

Answer:

Total number of employees = 86,891 employees

Step-by-step explanation:

Let

x = total number of employees

26.7% of x = 23,200

26.7/100 * x = 23,200

0.267 * x = 23,200

0.267x = 23,200

x = 23,200/0.267

x = 86,891.385767790

approximately 86,891 employees

Total number of employees = 86,891 employees

What is the area of the squares? The problems are in the picture below. 15 points!!!

Answers

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

Bottom right- 7×3= 21

Bottom left- 15×7=105

Do you still need help with this?

f(x) = 5x2 + 4x – 6
g(x) = 3x2 – 9

Answers

Answer:

f=5x2+4x−6

g=3x2−9

A family of 10 that all leave the house at the same time each morning has two bathrooms. They must share for everyone to be ready. Time is allotted to each family based on age. Is this apportionment or not apportionment?

Answers

Answer:

Not apportionment

Step-by-step explanation:

Apportionment can be described as a way of sharing out or dividing out in the best fair method.

If a family of 10 leave the house at the same time and have to share just two bathrooms, the time allocation should not be based on age rather should be based on how early each person wakes up in the morning.

P and Q form a linear pair if m P=(7x-4) and m Q =(2x-5) find the measure of each angle

Answers

Answer:

Answer:

Angle P = 143º

Angle Q = 37º

Step-by-step explanation:

Linear pair means the angles add up to 180º

So, using this, set up the equation: 7x - 4 + 2x - 5 = 180

Combine Like Terms

9x - 9 = 180

Add on both sides

9x = 189

Divide

189/9 = 21

Substitute 21 for x

Angle P: 7(21) - 4

Angle Q: 2(21) - 5

Step-by-step explanation:

]Daniel has 4 paintbrushes. Miguel has 6 times as many paintbrushes.


Drag packs of paintbrushes to the box to show the number of paintbrushes that Miguel has.

Answers

Answer:

he as 10 paintbrishes in hes box

he has 24 paintbrushes

Pls Help I hate math

Answers

Answer:

b

Step-by-step explanation:

to find the volume of the figure you have to multiply the with times the length times the height

2x12x9=216

Students at Garcia Middle School took a survey about their favorite school.The results showed that 182 students rated pizza as their favorite food. This number represented 68% of the number of students who took the survey.What was the total number of students that took the survey?

Answers

Answer:

267.64 students

Step-by-step explanation:

Let the total number of students that took the survey be represented as x

This number represented 68% of the number of students who took the survey.

The results showed that 182 students rated pizza as their favorite food.

Therefore:

68% × x = 182 Students

68/100 × x = 182

68x/100 = 182

Cross Multiply

68x = 182 × 100

x = 182 × 100/68

x= 267.64705882 students

Therefore, the total number of students that took the survey is Approximately 267. 64 students

Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?

Answers

Answer:  ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
O A. -14, 11
B. 11
C. -14
D. 14

Answers

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

One month Sam rented 3 movies and 8 video games for a total of $55 . The next month he rented 5 movies and 2 video games for a total of $18 . Find the rental cost for each movie and each video game.

Answers

Answer:

Step-by-step explanation:

You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.

The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:

3M + 8V = 55

The second month: 5 movies, 2 video games, $18. Translated:

5M + 2V = 18

Solve that system of equations

3y+3=39 urgenttt pleaseee fasttt helppp

Answers

3y+3=39

3y=39-3

3y=36

y=12

Edgar is playing a game where he draws three cards and finds the sum of
the values shown. If the sum is greater than 10, Edgar wins. Determine if
the sum of his cards shown below is greater or less than 10?

Answers

Answer:

The answer is greater than 10.

Step-by-step explanation:

Find CD if AE=8, ED=4, and BE=6.

Answers

Answer:

The ratio of the two triangles is 8:12.

So BE:CD=2:3

6/CD=2/3

2CD=18

CD=9

Step-by-step explanation:

anyone wanna help a failing student

Answers

Answer:

the answer is D brainliest please

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Brenda's bottles = B

Cindy's bottles = C

Brenda's bottles is twice Cindy's bottles and 5 more

B = 2C + 5

Therefore, D

2x≥12
I can't figure this out ​

Answers

Answer:

[tex]x \geq 6[/tex]

Step-by-step explanation:

You can start by dividing both sides by 2, getting [tex]x \geq 6[/tex].

Answer:

:(

Step-by-step explanation:

helpppppppp i'm literally starting to think i need a tutor

Answers

Answer:

x = 55

Step-by-step explanation:

Here, we want to get the value of x

From the diagram , we can see that we have a right- triangle

and thus,

x + 35 = 90

x = 90-35

x = 55

The Grand Old Duke of York had 10 000 men. He lost 10% of them on way to the top of
the hill, and he lost 15% of the rest as he marched them back down the hill.
What percentage of the 10 000 men were still there when they reached the bottom of
the hill?

Answers

Answer:

76.5%

Step-by-step explanation:

He lost 10% of them on way to the top of the hill

10% of 10,000 men

= 0.1 * 10,000

= 1,000 men

Remaining men = 10,000 - 1,000

= 9,000 men

15% of the rest as he marched them back down the hill.

15% of 9,000 men

= 0.15 × 9000

= 1,350 men

Total men remaining = 9000 - 1,350

= 7,650 men

% remaining =

x% of 10000 men = 7,650

x/100 * 10,000 = 7,650

Cross product

10,000x =7,650 * 100

10,000x = 765,000

x = 765,000/10,000

= 76.5%

x = 76.5%

WILL MARK BRAINLIEST
Which of the following are independent events?

randomly choosing a marble from a bag, replacing it, and choosing again reaching into your pocket and pulling out two dimes out of 20 coins

drawing a number from a hat, not replacing it, and then drawing a second number

rolling a number cube, rolling again, and trying to match the first roll

Answers

Answer:

randomly choosing a marble from a bag, replacing it, and choosing again

rolling a number cube, rolling again, and trying to match the first roll

Explanation:

In an independent event, getting a certain outcome once does not change the probability of getting the same outcome again.

The second option (about the coins) is NOT independent because if you pull out a dime on your first try, there are fewer dimes in your pocket and you are less likely to pull out a dime the second try. The third option (about drawing a number) is also NOT independent for the same reason: you don't put the number back into the hat after drawing it out, so there's fewer numbers the second time and the probability is different.

x less than or equal to negative 7 ​

Answers

Answer:

-11

Step-by-step explanation:

Fifteen more than twice a number is -23.

Answers

the answer is nineteen

Answer:

-19

Step-by-step explanation:

2x+15=-23

2x=-23-15

2x=-38

x=-19

A school club purchases sandwiches and pretzels for a lunch. Each sandwich costs $4.25 and each bag of pretzels costs $0.75. A total of 48 items (sandwiches and pretzels) were purchased for a total cost of $175. If s = the number of sandwiches and p = the number of pretzels, which system represents this situation?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

6x7
88x10
11x44
34x23
78x39

Answers

Answer:

does it matter?

Step-by-step explanation:

3. Rectangle J is 6 feet wide and 9 feet long.
Rectangle K is 9 feet wide and 12 feet long.
Are the rectangles similar? Explain.

Answers

Answer:

No it's not!

Step-by-step explanation:

because the length (long) of J and K are totally different whereas the breadth(width) of J and K is also different which does make similar in sense

Find the area of the shape below?

Answers

Answer:

8,910

Step-by-step explanation:

i just multiplied all the sides

and i got 8,910

Answer:

105 cm²

Step-by-step explanation:

The shape is composed of a rectangle and a triangle on the right side

area of rectangle = 15 × 6 = 90 cm²

The triangle has dimensions , base = (15 - 9) = 6 cm and height = (11 - 6) = 5 cm

area of triangle = [tex]\frac{1}{2}[/tex] × 6 × 5 = 3 × 5 = 15 cm²

Total area = 90 + 15 = 105 cm²

A table decreased in price by . After the reduction it was priced at £13. What was the original
price of the table?

Answers

Answer: 19 or 20 $

Step-by-step explanation:

PLEASEEEEEEEEEEEE HELPPPPPO

Answers

Answer:

C

Step-by-step explanation:

Answer:

The change in degrees fahernheit for every change in degrees celsius

Step-by-step explanation:

This is because it demonstrates the change of temperature in degrees fahrenheit for a change in degrees celsius. E.g - when the temperature in degrees celsius is 1 then in fahrenheit it becomes 34.

HOPE THIS HELPED

please help me 4t−t+2

Answers

Answer:

The answer is 3t + 2

Step-by-step explanation:

Subtract t from 4t.

hoped this helped!

brainly, please?

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