Ren was trying to solve a system of linear equations. He correctly argued that he could replace one equation by the sum of that equation and multiple of the other. He stated that this would produce a system that has the same solution as the original system.
To show this, Ren wrote down a system of equations. He them determined wich othe system of equations would have the same solution as the original system. Ren's original system is shown below.​

Ren Was Trying To Solve A System Of Linear Equations. He Correctly Argued That He Could Replace One Equation

Answers

Answer 1

Answer:

This what I got.

Hope it helps!

Ren Was Trying To Solve A System Of Linear Equations. He Correctly Argued That He Could Replace One Equation
Answer 2

The solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The given equations are;

-2x-5y = -47........(i)

4x-2y = -2

We can simply it, and write;

2x-y = -1

y = 2x+1.....(ii)

Put equation (ii) in (i)

-2x-5(2x+1) = -47

-2x-10x-5 = -47

-12x = -42

x = 7/2

Put value of x in eq (ii)

y = 2(7/2)+1

y = 8

Therefore, the solution of main equation is (7/2, 8)

Solving the other three equations,

1) -14x+y = -41

or, y = -41+14x......(i)

2) 4x-2y = -2

or, 2x-y = -1

y = 2x+1....(ii)

Solving the equations,  

2x+1 = -41+14x

12x = 42

x = 7/2

Put x = 7/2, in (ii)

y = 8

Therefore, the solution is (7/2, 8)

We get the solution of main equation is equal to this system of equation.

2) -2x-5y = -47......(i)

6x+3y = 45

or, 2x+y = 15.......(ii)

Solving the equation by elimination,

-4y = -32

y = 8

Put y = 8 in equation (ii)

2x+8 = 15

x = 7/2

Therefore, the solution is (7/2, 8)

Again, we get the solution of main equation is equal to this system of equation.

3) -2x-5y = -47.........(i)

8x-5y = -8.......(ii)

Solving the equations by elimination,

-10x = -39

x = 39/10

Since, value of x is not same as the value of x in main equation, that means, both the system of the equation do not have same solution.

Hence, we get that, the solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.

For more references on system of equations, click;

https://brainly.com/question/12895249

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Related Questions

PLEASE HELP IK THIS ISN'T MATH BUT PLEASE HELP ITS TIMED

Answers

the one you have marked is correct.



brainliest? if not, that’s okay. :)

5x + y = 11
4x + y = 9​

Answers

The first one is -5
The second one is -4

A factory makes tissue boxes. When the net is folded to make the tissue box, the length is 25 cm, the width is 5 cm, and the height is 20 cm. How much cardboard material is used to make each tissue box?

Answers

Answer:

1450 cm

Step-by-step explanation:

A cardboard box is shaped like a rectangular prism.

To solve the above question, we apply the formula for Surface Area of a Rectangular Prism

A=2(wl+hl+hw)

Where

w = width = 5cm

I = length = 25cm

h = height = 20 cm

=2 × (5×25+20×25+20×5)

= 2(125 + 500 + 100)

= 2(725)

=1450 cm of cardboard material should be used.

What is the constant proportionality in the equation y=5x

Answers

Answer: General equation of direct variation: y = kx, where k is the constant of proportionality. y = 5x, so 5 is the constant of proportionality

Step-by-step explanation: Hope this helps

If you help me I’ll give brainliest and 20 points only answer if you know pls and thank you

Answers

it’s 1 and the 3 you’re welcome :)

Answer:

(2/3)^4 and (4/9)^2

Step-by-step explanation:

What is 13% of 645.2

Answers

Answer:

[tex]\huge\boxed{\sf 83.876}[/tex]

Step-by-step explanation:

[tex]\sf = 13 \% \ of \ 645.2\\\\= \frac{13}{100 } * 645.2\\\\= \frac{13*645.2}{100} \\\\= 8387.6 / 100\\\\= 83.876\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

83.876

Step-by-step explanation:

16 divided by (x + 4) in WORD FORM

Answers

Answer:

sixteen divded by the sum of x and 4

Step-by-step explanation:

Hey there!

In order to do 16 divided by (x+4), you can first do 16/x + 16/4. Then, simplify 16/4, and then the answer to the question is 16/x + 4.

Hope this is what you were looking for! Let me know if you need more help! Good luck and have a great day!

Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box,
leaving the top and the bottom without decorations. The unshaded parts of the model and
the diagram below show the parts that she decorates. What is the total area that Olivia
decorates?

5 in.
11 in.
8 in

190 square inches
440 square inches
366 square inches
256 square inches

Answers

Taking the test rn, it’s 190 square inches.

Found the answer on another site. Worked fine, hope that helps

Answer:

440

Step-by-step explanation:

I HAVE I READY TOO AND IT’S KILLING ME

Classify the following triangle. Check all that apply.
O A. Equilateral
O B. Right
D C. Acute
OD. Obtuse
O E. Isosceles
DF. Scalene

Answers

Answer:

A and C

Step-by-step explanation:

answer:a,c is the answer


What are the coordinates of E??

Answers

Answer:

(10, 1)

Step-by-step explanation:

It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).

10,1 is the answer hope this helps

PLS HELP ME FIND X PLS

Answers

Answer:

The angle of x is 155!

Step-by-step explanation:

180-90-35=55

180-60-55=65

180-90-65=25

180-25=155

Please help! Will Mark if you are right!!

What is the turning point of the graph of f(x)=|x−4|?

Answers

Answer:

the second one

Step-by-step explanation:

Select the correct answer.
Which graph has a domain of x
> -3

Answers

Answer:

the answer is actually c.

Step-by-step explanation:

I took the test and you would want the line to be going to the greater value of -3 because x is greater than -3.

Hope this helps :)

Answer:

the answer is c

Step-by-step explanation:

i took the test and got it right.

Help omggg jdeekeekekekekeieieieieieoi. Don’t wanna be mad at

Answers

Answer:

yes and yes

Step-by-step explanation:

3x+2(6x)=15

Can you please solve for x?


Thanks!

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

6x x 2=12x + 3x = 15x

15x/15 = 15/15

x = 1

What is the correct sequence of steps?

Answers

I dunn know wut you mean but herez..

Simplify the parenthesis

Simplify all exponents

Simplify all multiplication and division, left to right

Simplify all addition and subtraction, left to right

Hava gud day :P

iii,v,iv,i, and ii

can I get brainlyest?

At Adam's Hats, there are 52 baseball caps and 13 other hats. What percentage of the hats are baseball caps?

Answers

Total hats = 52 + 13 = 65

Percentage that are baseball = number of baseball/ total hats x 100.

52/65 = 0.8 x 100 = 80%

80% are baseball hats

Answer: 80%

Step-by-step explanation:

First, you would add 52 and 13 together. That would be 65. Then you would divide 52 by 65. The answer is 0.8. That is equal to 80%.

A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number

Answers

The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!

14. Mrs. Buchanan is planning marching routines for the school band. The band has 36 members. Band members can march in any number of rows as long as each row has the same number of members. The marching path, however, limits members to 6 per row.

Answers

Question:

Make a list of the different arrangements that Mrs. Buchanan could use.

Answer:

[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]

Step-by-step explanation:

Given

[tex]Members = 36[/tex]

[tex]Rows\ Limit = 6[/tex]

Represent the rows with x and the column, y.

This means that:

[tex]x * y = 36[/tex]

Make y the subject:

[tex]y = \frac{36}{x}[/tex]

The list is then generated as follows:

When x = 6.

[tex]y = \frac{36}{6} = 6[/tex]

[tex](x,y) = (6,6)[/tex]

When x = 5

[tex]y = \frac{36}{5} = 7.2[/tex]

This result can not be use because the result of the number of columns must be an integer

When x = 4

[tex]y = \frac{36}{4} = 9[/tex]

[tex](x,y) = (4,9)[/tex]

When x = 3

[tex]y = \frac{36}{3} = 12[/tex]

[tex](x,y) = (3,12)[/tex]

When x = 2

[tex]y = \frac{36}{2} = 18[/tex]

[tex](x,y) = (2,18)[/tex]

When x = 1

[tex]y = \frac{36}{1} = 36[/tex]

[tex](x,y) =(1,36)[/tex]

So, the possible list is:

[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]

please help with thus question ​

Answers

Answer:

The Temperature at 7PM

Step-by-step explanation:

its the temperature at 7pm

You place a 16 foot ladder against a building. The angle that the ladder forms with
the ground is 60 degrees. How far from the base of the building is the bottom of
the ladder? round to the nearest foot.

Answers

Answer:The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

Step-by-step explanation:

A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.

Answers

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

x

300

x+5

300

=2

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

How many ounces are there in 13.5 pounds? Answer without units.

Answers

Answer:

216

Step-by-step explanation:

Help me plz I don’t this answer help

Answers

Answer:

-1/2 x 3 = -3/2

-1/2 x - 2/5 = 2/10 = 1/5

Answer = The second one: -3/2 + 1/5

Step-by-step explanation:

A dog weighs 20% more than it did three months ago. It weighs 36 pounds now.

How much did the dog weigh three months ago?

Answers

Answer:

30 pounds

Step-by-step explanation:

Let the weight 3 month ago be x.

20% more than x is:

1.2x

We now have the following equation:

1.2x = 36x = 36/1.2x = 30 pounds

URGENT!!! 30 points!
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.

On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted.

Answers

Answer:

Lol its 8

Step-by-step explanation:

How many solutions will this equation have?
x^(2)-12x +13 = 0

Answers

Answer:

1

Step-by-step explanation:


6. The base of a triangular field is three times its height. If the cost of cultivating the field
at 36 per hectare is? 486, find its base and height (1 hectare = 10000 m²).​

Answers

Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

For the given triangle,

area = [tex]\frac{1}{2}[/tex] x b x 3h

       = [tex]\frac{3}{2}[/tex]bh

Area of the triangle = [tex]\frac{3}{2}[/tex]bh

To determine the number of hectares,

36 per hectare = 486

hectare = [tex]\frac{486}{36}[/tex]

             = 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

                                   = 13.5 x 10 000

                                  = 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = [tex]\frac{3}{2}[/tex]bh

135 000 = [tex]\frac{3}{2}[/tex]bh

270000 = 3bh

bh = [tex]\frac{270000}{3}[/tex]

     = 90000

bh = 90000

But, b = 3h

3h x h = 90000

3[tex]h^{2}[/tex] = 90000

[tex]h^{2}[/tex]  = [tex]\frac{90000}{3}[/tex]

     = 30000

h = [tex]\sqrt{30000}[/tex]

  = 173.2051

h = 173.21 m

So that,

b = 3 x 173.2051

  = 519.6153

b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.

ABC ~ XYZ Find the length of BC (need an answer as soon as possible, with showing work please)

Answers

Answer:

BC is equal to 7

Step-by-step explanation:

18 = 2x + 4

18 - 4 = 14

14 = 2x

14/2 = 7

7 = x

2.
3.
Mal slept for x hours, and Kiran slept for 1/10
less than that
Kiran practiced the piano for x hours, and Mal
practiced for 2/5 less than that.
Mai drank x oz of juice and Kiran drank 4/3
more than that
Kiran spent x dollars and Mal spent 1/4 less
than that.
Mai ate x grams of almonds and Kiran ate 1.5
times more than that.
Kiran collected x pounds of recycling and Mai
collected 3/10 less than that.
Mai walked x kilometers and Kiran walked 3/8
more than that
Kiran completed x puzzles and Mal completed
3/5 more than that.
a. y = 2.5.2
by=1.3752
cy=0.92
d.y=0.72
e. y=0.62
4
5.
6.
7
f. y=.752
8. y= 2.332
hy=1.62
8.
Yeah

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Let y represent the amount of time kiran slept, hence:

y = x - (1/10)x = x - 0.1x

y = 0.9x

b) Let y represent the amount of time Mia practice, hence:

y = x - (2/5)x = x - 0.4x

y = 0.6x

c) Let y represent the amount of drink kiran drank, hence:

y = x + (4/3)x = 7x / 3

y = 7x/3

d) Let y represent the money Mai spent, hence:

y = x - (1/4)x  = x - 0.25x

y = 0.75x

e) Let y represent the amount of almond kiran ate, hence:

y = x + 1.5x = 2.5x

f) Let y represent the recycling Mai collected, hence:

y = x - (3/10)x = x - 0.3x

y = 0.7x

g) Let y represent the amount of km kiran walked, hence:

y = x + (3/8)x

y = (11/8)x

h) Let y represent the amount of puzzles mai completed, hence:

y = x + (3/5)x = x + 0.6x

y = 1.6x

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