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

The girls track team won 8 races and lost 2. Write the ratio of wins to total races in lowest terms

Answers

Answer: 4:1

Step-by-step explanation: it would start at 8:2 and the lowest terms it can go are 4:1

Answer:

5 : 4

Step-by-step explanation:

1. Find the total number of games

8 + 2 = 10

2. Create a ratio for number games vs. games won

10 : 8

3. Divide both numbers by 2

5 : 4

anyone know how to do this???

Answers

Answer:

My guess would be B

Step-by-step explanation:

I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses

answer on Brainly.

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Answers

Answer:

⦣ACB = 76º

Step-by-step explanation:

⦣DCB = ⦣BAD because one of the rules of a parallelogram is that opposite angles are equal

⦣BAD = 76º so ⦣ACB = 76º

solve this please pleaee maths question pleade​

Answers

son is 17 mother is 41

please help me
Which measurements could create more than one triangle?

A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°

B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches

C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches

D. A triangle with angles measuring 75°, 60°, and 45°

Answers

The answer is D i think .........

Answer:

your answer is up there

Step-by-step explanation:

Sorry for not being some help i really am Red Riot out

I need help with this question​

Answers

Answer:

A i jus did this

Step-by-step explanation:

GIve Brainlest Please

Please help I only have an hour!! I will give brainliest!!

Answers

Answer:

the base would be 4.

Step-by-step explanation:

The base is the number underneath the exponent.:))

Hope this helped :)) Please mark Brainliest :))

The probability of tails of a weighted coin is 0.8. The number of tails is noted each of the 20 times the coin is tossed. If this procedure is repeated 75 times, what type of distribution is simulated?

Answers

Answer:

A sampling distribution of the sample proportion with n = 20 and p = 0.8

Step-by-step explanation:

We are given that

The probability of tails of a weighted coin, p=0.8

n=20

We have to find the type of distribution is simulated if this procedure repeated 75 times .

Random variable is a proportion of number of tails therefore, type of distribution is   sampling distribution of the sample proportion.

We have n=20 and p=0.8

Hence, we can say that type of distribution is simulated is given by

A sampling distribution of the sample proportion with n = 20 and p = 0.8

Answer:

I chose answer D. A binomial distribution with n=20 and p=0.8, No clue if correct or not

Step-by-step explanation:

HELP ME WITH THIS ASAP PLEASE I WILL PUT FIRST ANSWER AS BRAINLIEST!!!

Answers

Answer:

A

Step-by-step explanation:

You only need one admission ticket, so there is no need to have a variable with it. She golfed multiple rounds, so you need a variable by $6.25. You are adding the charges together so you need an addition symbol.

Hope this helps!

Consider the line - 4x – 3y = 5.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Answer:

The slope of the perpendicular line is 1/4

A line parallel to this will have the same gradient of -4.

Worth 15 points so please actually help me!!
Which function is it?

Answers

It’s answer a !!!!!!
Pretty sure it’s a. On the table it shows 1 = 3.

can someone explain this to me

Caleb and Maddie are using their grandma’s oatmeal raisin cookie recipe. The recipe calls for 2 cups of flour for every 3 cups of oatmeal.

Caleb only has 1 1/2 cups of flour. How many cups of oatmeal should he use to follow the recipe correctly?

Answers

2.25 or 2 and 1/4 cups oatmeal.

Will mark brainliest !!!!

Answers

Answer:

7/8=14/16     5/24=38     7/12=21/36

5.) 4/7=8/14   6.) 16/4=4/1   7.) 8/10=40/50

8.) 16/20=8/10  9.) 32/8=8/2   10.) 7/9=21/27

1.) 8/5=4/2 1/2   2.) 3/7=4/28/3

3.) 4/3=3/9/4     4.) 2/3=4/6   5.) 4/8=5/2/5

6.) 6/3=4/2        7.) 15/8/3=5/8    8.) 9/2/3=6/4

BRO I"M BEGGING PLEASE GIVE ME BRAINLIEST AFTER THAT THAT TOOK FOREVER AND GOODLUCK IN THE FUTURE ALSO ADD ME AS A FRIEND SO I CAN "TUTOR YOU" IF YOU NEED IT

Solve this please x^4-15x^3+56x

Answers

Answer:

x2(x−8)(x−7)

Step-by-step explanation:

Factor

Factor x2 out of x4−15x3+56x2.

x2(x2−15x+56)

x2(x−8)(x−7)

helppp! doing test!!

Answers

Answer:

Can you show more of the question?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Basically, division. divide 85.60 by 4 in order to get each hour.

Evaluate the expression for the given value of x.
5x + 6 for x = 4

Answers

If x=4, rewrite the equation which would be 5(4)+6

First you multiply 4 by 5 which would give you 20

Now put in the 6 in the equation

20+6

20+6=26

Therefore for the expression given the value of x would make your answer be 26

HELP QUICK!! WILL GIVE BRAINILIST
Find the value of x in the triangle shown below.

Answers

Answer:

58

Step-by-step explanation:

Since two of the sides are both 6.2, we know that this is an isosceles triangle. Thus, the two angles opposite of x are both equal (61 degrees).

The angles inside of a triangle always add up to 180, so now we have

180 = 61 + 61 + x

Solving for x, we get x = 180 - (61 + 61) = 180 - 122 = 58

Solve the system by substitution
y=-6x

-2x-7y=40

Answers

Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

------------------

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

I need to get h5h+11−h in it's simplest form.

Answers

Answer:

5h+11

Step-by-step explanation:

You add the like terms so 1h+5h-1h= 5h. Then you just add 11 into the equation

1)Most GPAs are figured on a _____ scale; however, honors/advanced classes can be weighted on a _____ scale and college-level classes may be weighted up to a _____ scale.

A)4.0; 4.5; 5.0
B)2.0; 3.0; 4.0
C)1.0; 2.0; 3.0
D).5; 4.5; 6.5
-----------------------------------------
2) Which statement best describes shadow hours?

A)Shadow hours are when a student follows a professional who is working in a job that the student is interested in pursuing.
B)Shadow hours are when students work in the setting in which they will become employed.
C)Shadow hours are when a faculty member follows the student around to see if they understand the work.
-----------------------------------------------
3) Which statement best describes why colleges like to see students involved in extracurricular activities?

A)Extracurricular activities show colleges a student's academic abilities.
B)Extracurricular activities illustrate college readiness.
C)Extracurricular activities show that a student is an active well-rounded individual.
D)Colleges are not concerned with extracurricular activities.
---------------------
4) When preparing for a career in health science, it is a good idea to have _____.

a)four years of language
B)two years of math
c)four years of science
d)all of the above
-----------------------------------
5)Dental assistants, physical therapy assistants, and pharmacy techs are good examples of careers that require a(n) _____.

A)associate's degree
B)bachelor's degree
C)master's degree
d)doctoral degree
--------------------------------------------
5) To earn this degree, you need to complete coursework, teaching, and research.

A)an associate's degree
B)a bachelor's degree
C)a master's degree
D)a doctoral degree

Answers

Answer:

The first question's answer is c 1.0, 2.0, 3.0

Step-by-step explanation:

Answer:

1. A) 4.0; 4.5; 5.0

2. A) Shadow hours are when a student follows a professional who is working in a job that the student is interested in pursuing.

3. C) Extracurricular activities show that a student is an active well-rounded individual.

4. D) All of the above

5. A) Associte's degree

6) D) A Doctoral degree

I hope this helps you

A computer and printer cost a total of $900. The cost of the computer is three times the cost of the printer. Find the cost of each item.

Answers

P = printer cost
C = computer cost
P + C = 900
C = 3P

P + 3P = 900
4P = 900
P = $225

C = 3(225)
C = $675

Pleaseee helpp answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

the answer is 91.8!!!!

3( 2p - 5) - 6p
need help please​

Answers

Answer:

-15

Step-by-step explanation:

We have the expression 3(2p - 5) - 6p and are asked to simplify.

Let's distribute, which is to multiply a number that is outside of a parenthesis bracket by the numbers inside the parenthesis.

3(2p - 5) - 6p

(3(2p) - 3(5)) - 6p

6p - 15 - 6p

Since you can only do changes to like terms and 15 and 6p are two different terms, we do 6p - 6p.

6p - 6p

0

Leaving us with -15.

Answer:

-15

Step-by-step explanation:

Simplify each term.

6p - 15 - 6p

Combine the opposite terms:

Subtract 6p from 6p

0 - 15

Subtract 0 from 15

-15

good luck, hope this helps :)

solve by factorizing x² + 8x + 15 + 0

Answers

Download

GET

Algebra

Factor

Factor the polynomial.

(

x

+

3

)

(

x

+

5

)

Tap to view FREE steps...

()|[]√≥

789≤

456/^×>∩∪

123-+÷<π∞

,0.%=

Factor

x

2

+

8

x

+

15

+

0

Regroup terms.

x

2

+

0

+

8

x

+

15

Add

x

2

and

0

.

x

2

+

8

x

+

15

Factor

x

2

+

8

x

+

15

using the AC method.

Tap for fewer steps...

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

15

and whose sum is

8

.

3

,

5

Write the factored form using these integers.

(

x

+

3

)

(

x

+

5

)

Answer:

(x+3)(x+5)

Step-by-step explanation:

What part of 18 is 1

Answers

Answer:

1 / 18 = 5.555555555556%

Step-by-step explanation:

hope it helps

The  [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.

Fraction:

Let us consider that x part of 18 is equal to 1.

So that,

               [tex]x*18=1\\\\x=\frac{1}{18}[/tex]

Therefore, [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.

Learn more about the fraction here:

https://brainly.com/question/78672

11 of 11
The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.

Answers

Answer is probably 164.09X10^1

katie baked a cake. Her brother ate 1/4 of the cake, her father ate 1/4 of the cake, and her mother ate 1/4 of the cake. How much of the cake is left?

A. 1/8
B. 1/4
C. 3/8
D. 1/2
E. 3/4

Answers

Answer:1/4

Step-by-step explanation:

1/4x3=3/4

1-3/4=1/4

Answer:

B. 1/4

Step-by-step explanation:

The cake is 1 whole or 4/4 total. If 3 people ate 1/4 then 3/4 of the cake was eaten. This leaves only 1/4 of cake left.

Hope it helps!

Which of the following equations are represented by the graph?
I = x+2
II -7x-5y=10
III y=(x-7)(x-2)
IV. y+5=1/(x+5)
a) II and III
b) I and III
c) II and IV
d) I and IV

Answers

The answer is D- both answers are y=-7/5+2 and y=7/5x+2 hope this help!

help asap i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

All of the above.

Step-by-step explanation:

By looking at the graph and taking point x at 4 and y at around 300. This shows us the precise rate of the graph which is when x = 4, y is equal to 300.

Now if we substitute the x as 4 in any of the equations we will get values larger than 300. Therefore, all the equations have a greater rate of change.

y = 85(4) = 340 (Greater)

y = 50(4) + 150 = 350 (Greater)

y = 65(4) + 100 = 360 (Greater)

A donut shop made 61 donuts. They put frosting on 47 of the donuts. What is the ratio of the number of donuts without frosting to the total number of donuts?

Answers

Answer:

14:61

Step-by-step explanation:

Answer:

The answer is 14:61

Step-by-step explanation:

it can be written also as a fraction

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