Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 9x = 27.
Which of the following systems could have led to this equation?
O
9x + 2y = 21
-9x - 2y = 21
10x - y = 15
x+y = - 12
7x - 2y = 15
x + y = 6
4x + 3y = 24
-5x - 3y = 3

Answers

Answer 1

The system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

Solving systems of equations

From the question, we are to determine the system that could have led to 9x = 27


1.

9x + 2y = 21

-9x - 2y = 21

Subtracting, we get

9x + 2y = 21

-9x - 2y = 21

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

18x + 4y = 0

2.

10x - y = 15

x + y = - 12

Subtracting, we get

10x - y = 15

x + y = - 12

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

9x -2y = 27

3.

7x - 2y = 15

x + y = 6

Here, multiply the second equation by 2

2 × [x + y = 6]

2x + 2y = 12

Now, add to the first equation

7x - 2y = 15

2x + 2y = 12

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

9x = 27

4.

4x + 3y = 24

-5x - 3y = 3

Subtracting, we get

4x + 3y = 24

-5x - 3y = 3

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

9x + 6y = 21

Hence, the system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

Learn more on Systems of equations here: https://brainly.com/question/12691830

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Related Questions

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.

Drag and drop the choices into the boxes to correctly complete the table.

corresponding alternate interior alternate exterior none of these

Answers

Answer:

From left to right, top to bottom: 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are cooresponding angles, 1 and 2 are alterante interior angles.

Answer:

We will go in order.

first-None of them

second-Alternate exterior

third-None of them

forth-Corresponding

and Fifth-Alternate Interior

Step-by-step explanation:

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Answers

Answer:

i hope this helps

Step-by-step explanation:

please please help! i just answered a few questions just to post this im using all my points.

Answers

Answer:

Step-by-step explanation:

∠RST=180-44-15

         =121°

In ΔRST and ΔLMN,

∠RST=∠LMN (proven)

∠TRS=∠NLM (given)

∴ΔRST ~ ΔLMN (AA)

Answer:

Yes

Step-by-step explanation:

If all the angles in the triangles are the same, then the triangles are similar.

ΔSRT: The angles in a triangle add up to 180. 44+15+x=180, x=121

ΔLMN: The angles in a triangle add up to 180. 44+121+x=180, x=15

Both triangles share the same angles (44,15 and 121), so they are similar.

Solve the equation w=cx-h for x.

Answers

Answer:

That's your answer. Let me know if you need an explanation.

w=cx-h
add h to both sides
w+h = cx
divide both sides by c
(w+h)/c = x

answer:
x = (w+h)/c

If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP

Answers

Answer:

365.76

Step-by-step explanation:

If 2 feet is 60.96, then 1 foot is 30.48.

30.48 times 12 = 365.76

365.76 centimeters is the answer.

Hope this helps!

Plz, mark brainliest!

Answer:

365.76 cm in 12 feet

Step-by-step explanation:

Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)

Now we can cross multiply, which gives us 12*60.96=2*x

Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.

There are 56 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital?

Answers

There are 21 men at the dance recital

Answer:

56%8=7     so then u do this  (3 is the ratio of men) 3X7=21 and thats how u do it :D

Step-by-step explanation:

uhh i don't have one lol

can some one help me please....

step by step explanation........ ​

Answers

Answer:

There are 77 members in the group.

Step-by-step explanation:

1Rs = 100 paise ( Indian Currency Conversion )

Given,

Total amount collected is = Rs 59.29

Now convert Rs 59.29 to paise that is 59.29 × 100 = 5929 paise

Condition :- Paise collection = Total number of members

Consider any of the above condition as X

So, X² = 5929

X = √5929 = 77

Thus, Total number of members in the group is 77 [ Option C ]

Hope this helps you.

x² + 2xy ty = 144
(x+y)³= ?

Answers

Answer:

t=144x3+432x2y+432xy2+144y3−x2

2xy2

Step-by-step explanation:

Select the equation of the line of symmetry shown at the graph.
Answer choices:
X=3
Y=3
X=4
X=2​

Answers

the answer is x=3
hope this helps !

The circumference of a circle is 31.4 inches. Enter the radius of the circle, in inches. Round your answer to the nearest whole number.

Answers

Answer:

Should be 5 in.

Step-by-step explanation:

C=2*Pi*R

31.4=2*3.14*R

substitute 5 for radius= 2*5=10

10*3.14=31.4

HELP! THIS IS DUE IN LESS THAN 20 MINUTES! PLEASE!!! I'M ALREADY BEHIND AND THIS WILL SET ME BACK EVEN MORE!!!

Answers

Answer: For 7 this is how to graph it

9. Which of these was an example of US industrial mobilization for war? (5.1.B) A. Increased factory production of tanks and planes B. Increased farm production of wheat C. Rationing of products, like copper and rubber D. Increased production of automobiles​

Answers

Answer:

A

Step-by-step explanation:

Tanks are the Backbone of the Military, they are needed to destroy the Axis Powers during WW2, they also used Captured Enemy Tanks for studying and Produce New Tanks to Counter them.

What is the justification for step 2? 4(x-5)= -12 Justification Step 1: 4x-20=-12 Distributive Property Step 2 4x= 8 ? Step 3 x=2 Division Property of Equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

Given the equation 4(x-5) = -12

Expand

4x - 20 = -12

Add 20 to both sides (addition property of equality)

4x-20+20 = -12+20

4x = 8

x = 8/4

x = 2

Hence the value of x is 2

The justification for step 2 is addition property of equality

HELP WILL GIVE BRAINLY!

Answers

Answer:

The second one

Step-by-step explanation:

on the f axis you can see that f is greater than or equal to 1 and less than or equal to 5.

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.


100 POINTS
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.

Answers

Answer:

Equations for each salesman:

A. p(s) = 65sB. p(s) = 40s + 300C. p(s) = 900

When s = 0, s= 1, s = 10 each of the gets paid:

A. p(0) = 0, p(1) = 65, p(10) = 650B. p(0) = 300, p(1) = 340, p(10) = 700C. p(0) = p(1) = p(10) = 900

The above numbers as ordered pairs:

                 A                B               C          s = 0  |    (0, 0)       | (0, 300)    | (0, 900)s = 1   |    (1, 65)      | (1, 340)     | (1, 900)s = 10 |    (10, 650) | (10, 700)   | (10, 900)

i really need help ASAP, its due on midnight

Answers

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

I posted a picture how I got this answer

Hope this helped

Help plssssssssssssss?

Answers

Answer:

2

Step-by-step explanation:

because when x, the input, is -3, the y, the output, is 3



whats 3squared correct to 5 decimal places​

Answers

Answer:

9.0000

Step-by-step explanation:

3 squared = 3*3 = 9

9 to 5 decimal places = 9.0000

pls mark as brainliest

PLS PLS help!
Type an equation of a parabola that is moved down 2 units, stretched vertically by a factor of 3, and moved left 5 units.

Answers

9514 1404 393

Answer:

  y = 3x^2 +30x +69

Step-by-step explanation:

Transformations work this way:

  g(x) = k·f(x) . . . . vertical stretch by a factor of k

  g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)

__

So, the translation down 2 units will make the function be ...

  f(x) = x^2  ⇒  f1(x) = f(x) -2 = x^2 -2

The vertical stretch by a factor of 3 will make the function be ...

  f1(x) = x^2 -2  ⇒  3·f1(x) = f2(x) = 3(x^2 -2)

The horizontal translation left 5 units will make the function be ...

  f2(x) = 3(x^2 -2)  ⇒  f2(x +5) = f3(x) = 3((x +5)^2 -2)

The transformed function equation can be written ...

  y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)

  y = 3x^2 +30x +69

__

The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below. Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last Week This Week Mean 3.5 in. 2.7 in. Mean Absolute Deviation 1.2 in. 0.5 in. Which expression compares the difference of the two means to this week's mean absolute deviation?

Answers

Answer:

0.8 / 0.5

Step-by-step explanation:

Given :

Deviations of Rainfall :

______Last Week ____ This Week

Mean___ 3.5 in. ________2.7 in

MAD ___ 1.2 in _________ 0.5 in

Mean difference = 3.5 in - 2.7 in = 0.8 in

This week's mean absolute deviation = 0.5 in

Mean difference / this week's mean absolute deviation

= 0.8 / 0.5

Answer:

0.8 / 0.5

Step-by-step explanation:

Calculate the slope of the graph

Answers

U need to calculate right and bottom squares. Like 1/2

{y=5x-7
y=-2x+7 Solve the system by graphing.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: Put both equation into desmos and the crossing point will be (2,3) and the graph will be there.

Step-by-step explanation: 5x-7 = -2x+7                   y = 5(2) - 7

                                             5x = -2x + 7 + 7.              y = 3

                                             5x = -2x + 14

                                             5x + 2x = 14

                                             7x = 14

                                             x = 2

is it possible to have triangle with 3 cm 6 cm and 7 cm sides if yes then​

Answers

Answer:

No

Step-by-step explanation:

Step-by-step explanation:

Yes it is possible to have a triangle with 3 cm, 6 cm and 7 cm sides because in order to form a triangle the length of two sides of a triangle should exceed the third side as shown below :

3 + 6 > 7

9 > 7( True) ✔

6 + 7 > 3

13 > 3 ( True) ✔

7 + 3 > 6

10 > 6 ( True) ✔

Hope it will help :)

Can someone just please help me I beg you

Answers

Answer:

8 by 6986 = quotient  873 remainder 2

M= 800x8 =6400

N= 560/8=70

P= 26/8 =3

Q=3x8=24

R=26-24=2

I need brainliest so I can rank up

Step-by-step explanation:

yes good haware you good

How do i identify the minimum

Answers

Answer:

to identify the minimum of the table try looking at the negative numbers first and then look at the positive numbers

What is the image of M(11,-4) using the translation (x,y) →x-17, y + 2?
A. M'(-6,-2)
B. M'(6,2)
C. M'(-11,4)
D. M'(-4,11)​

Answers

Answer:

https://cdn.kutasoftware.com/Worksheets/PreAlg/Reflections%20of%20Shapes.pdf

Step-by-step explanation:

pls search this

Answer:

A. M'(-6,-2)

Step-by-step explanation:

Encierra todo los números que sean mayores a 18,031 2 ​

Answers

no se me alludas a saber cual es

Any help is greatly appreciated but please show how to get answers

Answers

We first calculate the front and back which are 2 congruent(equal) triangles. The 2 areas together is...

9*6/2*2=54

Now we want to calculate the 2 rectangles at the top right and top left of the shape they are also congruent(equal). The 2 areas together is...

7*5*2=70

The last part is the rectangle on the bottom with area...

9*5=45

Now we just need to add them all together...

54+70+45=124+45=169

I hope this helped you, if you have any questions about this solution just ask me in the comments :)

Answer:

223cm

Step-by-step explanation:

First you want to figure out how many faces the 3D shape has.

This has 5 faces.

Then you find the area of each face.

The front face has an area of 54cm because the length is 6cm and the width is 9cm.

Area = Length x Width

The back face will always have the same area as the front.

54cm + 54cm = 108cm (Front and Back Face)

Now the right side and left side.

The width of the side is 5cm and length is 7cm.

7cm • 5cm = 35cm

Just like the front and back, the right and left side will have the same area.

35cm + 35cm = 70cm

Now the last part.

There is no top face since this is a 3D triangle and not a square and rectangle etc.

So, you don't add it two times like the others.

The bottom's width is 5cm and the length is 9cm

5cm • 9cm = 45cm

Now you add all of it up together to find the surface area.

108cm + 70cm + 45cm = 223cm

Hope this helps dude

Perform the indicated row operation:

2 −1 −4 7
−1 2 1 −1
0 10 8 2
equation
2 −1 −4 7

0 10 8 2

Answers

Answer:

-1,2,1,-1

3,4,5,5

The other answer is for the question after this one on the edge assignment

Answer:

1ST ANSWER

0 10 8 2

2ND ANSWER

0 3 -2 5

Got it right on edg

Compare the number of friends at the beginning of a month and at the end of that month if it decreased by 60 and increased by 80

Answers

Answer:

plus 20 or positive

Step-by-step explanation:

-60+80= 20

positive

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