Which statement explains why 13x−13y=−26 shares a solution with this system of equations:

10x−3y=29

−3x+10y=55

Answers

Answer 1

The given equation is derivable from the system of equations.

Response:

The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.

Method by which the relationship between the equations was determined

Given:

The system of equation is presented as follows;

[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]

Therefore, by subtracting equation (2) from equation (1), we have;

(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions

13·x - 13·y = 29 - 55 = -26

13·x - 13·y = -26, which is the given equation

Given that the operation performed on equation (1) and (2) is the

subtraction of equivalent expressions, we have, that the solution for the

given equation, 13·x - 13·y = -26 is the same as the solution for given

system of equations.

The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;

D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equation

Learn more about simultaneous equations here:

https://brainly.com/question/10724274


Related Questions

Think about school is not about learning it’s about maintaining good grades

Change my mind

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Answer:

now that I think about it you do have a good point!, but it could be both no?

Step-by-step explanation:

have a good day! :)

Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.


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Answer: 20ft

Step-by-step explanation:

floor space is only worried about the area of the base, so A would be 4*5 or 20

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20

Step-by-step explanation:

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Answer:

i think it is 51 degrees

Step-by-step explanation:

___________________________________X = 58 ________________________________

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Answer:

Hello, I believe the answer would be PK since both XS and PK are the same height.

Step-by-step explanation:

I hope this helped you!

Answer:

option A

PK corresponds to XS


Angle Relationship: Complementary OR Supplementary

Answers

Answer:

supplementary because this is not a 90 degree angle

also i know this person, if anyone want someone to do there homework they can text yktv.sham on insta gram and you can pay her

Carlos has 1/2 of a sub sandwich. He wants to share it between himself and 2 friends How much
of the sandwich will they each get?

Answers

Answer:

They will each get 1/6 of the sub, but 1/3 of the half sub.

Step-by-step explanation:

As we know, there are 3 people, so divide 1/2 by 3.This gives them each 1/3 of the 1/2 sub.Or, this gives them 1/6 of the whole sub before it was split into 1/2.

Elizabeth planted a garden in a 16 foot by 8 foot area. To calculate the square foot area of the garden, she multiplied 16 by 8 and got a product of 128 square feet Which equation could Elizabeth use to check her answer? A) 16 x 8 = 128 B) 128 - 8 = 16 © 128 + 8 = 136 D. 128 - 8 = 120 please help​

Answers

B  128 divide 8 = 16

took test

Answer:

128 / 8 = 16

Step-by-step explanation:

What is 6 over 10 plus 13 over 100

Answers

Answer:

73/100

73 over 100

What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz

Answers

Answer:

when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|

f(x) = |x+9|

if you set that equal to zero then X= -9

so shifting over to the left is the right choice

Step-by-step explanation:

is -6 or -3 bigger please help fnfrififnrrfee

Answers

Answer:

-3

Step-by-step explanation:

-3 is bigger because it is closer to zero on a number line. it is closer to a positive number on the number line. I hope this helps

Please help me I'm so bad at math and doing AFDA really doesn't help..
find a, b, c in this equation, much appreciated!

Answers

Answer:

Step-by-step explanation:

a= 2x square

b= -7x

c= 17

have a nice day!

can you choose me brainliest?

factor the polynominal 5x^2y + 6x^2y^3 - 3x^3y^2

Answers

Answer: x^(2)y(5+6y^(2)-3xy)

Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)

brainliest or a thank you please! :) <33

The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.

Answers

Answer:

[tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,

[tex](y-y_1)=m(x-x_1)[/tex]

Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.

It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.

[tex](y-(-6))=-2(x-4)[/tex]

[tex]y+6=-2(x-4)[/tex]

he National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2666 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.) The 95% confidence interval is ( , ).

Answers

Answer:

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

Step-by-step explanation:

Step(i):-

Given that  National Center for Health Statistics interviewed 5409 adult smokers in 2015

Sample size 'n' = 5409

Given that 2666 of them said they had tried to quit smoking during the past year.

proportion

             [tex]P = \frac{x}{n} = \frac{2666}{5409} = 0.49288[/tex]

             Q = 1 - P = 1 - 0.49288 = 0.50712

Step(ii):-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

[tex]({P - Z_{0.05} \sqrt{\frac{PQ}{n} } , P + Z_{0.05} \sqrt{\frac{PQ}{n} )[/tex]

[tex]({0.49288 - 1.96 \sqrt{\frac{0.49288 X 0.50712}{5409} } , 0.49288 + 1.96\sqrt{\frac{0.49288 X 0.50712}{5409} )[/tex]

(0.49288 - 0.01332 , 0.49288+0.01332)

(0.47956 , 0.50620 )

Final answer:-

95% confidence interval for the proportion of smokers who have tried to quit within the past year

(0.47956 ,0.50620)

Each side of a square kitchen tile is 3 inches long. What is the tile's perimeter?


please no links, thank you!

Answers

The perimeter is 12 inches

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Answers

Answer:

109.3

Step-by-step explanation:

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please do not put any link just answer it

Answers

Answer:

10

Step-by-step explanation:

take your total and multiply it by the percentage.

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(7.10; 7.15)
1. The diagram below shows a
parallelogram.
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28 cm
If the parallelogram were enlarged
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of the enlarged parallelogram would
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Answers

Answer:

We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:

Step-by-step explanation:

Find the circumference of a circle with area of 676 pie square meters

Please show work

Answers

Step-by-step explanation:

A= πr^2

r = √(A/π)

r = √(676π/π)

r = 26

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52π

= 163.36

Answer:

52 pie square metres

Step-by-step explanation:

area of a circle=pie r^2

pie r^2=676pie

r^2=676

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circumference=pie d

52 pie square metres

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Answers

Answer:

8 × 2 = 16 feet

Step-by-step explanation:

If radius is 'r' then multiplying it by 2 will give you the diameter.

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Answers

Answer:

a

Step-by-step explanation:

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Answers

Answer:

Hi! The answer to your question is a = 17

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Abigail is using her mother's pancake recipe, but she wants to make 60% more pancakes than the recipe usually prepares. If her mother's recipe calls for 1/2 cup of flour, how much flour will Abigail need to use?

Answers

Answer:

1 and 1/4 cup of flour

Step-by-step explanation:

Abigail needs to use 3/4 cup more flour

ANSWER WITH WORK SHOWN or I will issue a special Perma Ban Bot to conclude a Permanant IP Ban to your account.

Answers

Answer:

4) 6m, 8m, 10m

Step-by-step explanation:

Use Pythagorean to determine the answer

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#6

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Answers

To find the value of X bring the variable to the left side and bring all remaining variables to the right side simplify the values to find the result

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Answers

Answer:

6

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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Please give brainliest.

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in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter of trapazoid BMNC.

Answers

35

since m and n are the midpoints of ab and ac resistively

then ,bc=2mn=16

since m and l are the midpoints of ba and bc respectively

then, ac =2mn =10

then,nc =1/2 × 10 =5

similary, mb=6

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need help with calculation:

you owe $2154.35 on your PBnJ credit card that has an interest rate of 9.85% APR, rather than placing $435 into a savings account earning 2.5% APR, you pay down the principal at the beginning of the month on the credit card. How much interest did you save? (HINT: Calculate the difference between the interest you would earn from the savings account and the interest you would pay on your credit card for the $435)​

Answers

Answer:

if that $100 was on a loan or credit card, your debt could grow and grow until the interest you owe was more than the original principal! Credit Score or Rate. Your credit score is how well you pay off your credit .

What is the exact mean or average number of crabs found per site? 

Answers

Answer:

just add them however many crabs their are just add all of the totals together then divide your answer by two.

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