50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
Answer the following linear equations: x3+y3+z3=k
2x – y = 6, x – y = 2
and ax + by = a-b, bx – ay = a+b
TYVM!! :)

Answers

Answer 1

Answer:

Linear Equation 1 — 3xyz

Linear Equation 2 — x = 4 and y = 2

Linear Equation 3 — x = 1 and y = (-1)

Step-by-step explanation:

(Linear Equation 1)
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" -- a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.

The required result must be 3xyz.
(Linear Equation 2)

2x − y = 6   ....(1)

x − y = 2  ....(2)

Equation(2)−Equation(1) we get

x − y − 2x + by = 2 − 6

(−x) = (−4)

x = 4

Substitute x = 4 in (1) we get

2x − y = 6

2*4 − y = 6

8 − y = 6

(−y) = 6 − 8

y=2

(Linear Equation 3)

ax + by = a − b .......... (1)

bx − ay = a + b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a²x + aby = a² − ab ..........(3)

b²x − aby = ab + b² ......... (4)

Adding (3) and (4), we get,

(a² + b²)x = a² + b²

x = 1

Now, from (1),

ax + by = a − b

a + by = a − b

by = (−b)

y = (−1)


Hope my answer helps you ✌️

Mark BRAINLIEST


Related Questions

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From midnight to 2:00 am, the temperature rose
1.55
1.55°C each hour. If the temperature at midnight was

7
−7°C, what was the temperature at 2:00 am?

Answers

Answer:

-3.90

Step-by-step explanation:

1) 1.55+1.55 =3.10

2) -7+3.10= (-3.90)

The answer is -3.9 degrees Celsius because 1.55+1.55=3.10 (We do this because 1h= +1.55 so 2h = +3.10) and then we do -7+3.10= 3.90 degrees Celsius (we do this because we do the initial temperature plus the temperature risen in 2 hours)

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The expression 6x^2 gives the surface of a cube and the expression x^3 gives the volume of a cube where x is the length on one side of the cube. Find the surface area and the volume of cube with a length of 2 m

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

This is the answer for your problem.

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Answers

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Step-by-step explanation:

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Answers

volume = 0.5 * b * h * length
So 0.5*1 1/2*2*4 =6
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rite an addition equation to show how you decomposed
7/6
.

Answers

Answer:

For the fraction model, fill the whole left bar, and only 1 in the right bar.

The addition equation is:

⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ + ⅙ = 7/6

Explanation:

Since the bar is divided into sixths (1/6 each), just count by 1/6 each time you fill each one and use the equation to represent the process.

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Answers

Answer:2.16

Step-by-step explanation:

The felt costs 9¢ per square inch. She will only pay for the felt used to cover the box, even if there is waste or extra. How much money did Hazel spend on the felt? (1 point)

a
$18.18

b
$27.72

c
$36.36

d
$45.54

Answers

Answer:

C. $36.36

Step-by-step explanation:

You need to find the surface area of the box. Then, calculate how much it will cost.

SA = 2(wl + hl + hw)

SA = 2([11*8] + [6*8] + [6*11])

SA = 2(88 + 48 + 66)

SA = 2(202)

SA = 404 inches

9 cents per inch

0.09*404 = 36.36

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Answers

V = l x w x h /3 = 8 x 8 x 12 /3 = 256

The volume would be 256.

8 times 8 times 12 then divide by 3 which is 256.

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Answers

Answer: the answer is 6

Step-by-step explanation:

If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the rule used was (x, y) --> (x, -y), which transformation has occurred?

A) Reflection across the y-axis
B) Reflection across the x-axis
C) Rotation of 90° around the origin
D) Translation

Answers

Answer: A) Reflection across the y-axis

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane

B; u=7t³ -10
C: u=2t-5
D:u=8t-2
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G: u=-4( t + 3)

Answers

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Chau runs each lap in 7 minutes. He will run at most 8 laps today. What are the possible numbers of minutes he will run today?
Use T for the number of minutes he will run today.
Write your answer as an inequality solved for T.

Answers

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Answers

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There are many cylinders with a height of 18 meters. Let r
Represent the radius in meters and v represent the volume in cubic meters.

Complete he equation that represents the volume v as a function of the radius r.

Complete the table:

Answers

Answer: 18, 72, 288

Step-by-step explanation:

The formula for cylinder volume is V=π r^2 h

Substitute: radius =1 and height =18

V= 18 pi

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MM

Solve each function for the given value.

Equation Given Value
Solution


a.) y = 15x - 50
when x = 7


b.) y = 1/2x + 20
when x = 50


c.) y = (3x)2 - 36
when x = 3


d.) y = 2.5x + 3.8
when x = 0.66

Answers

Answer:

a) y = 55

b) y = 45

c) y = -18

d) y = 5.45

Step-by-step explanation:

y = 15x - 50    when x = 7

y = 15(7) - 50

y = 105 - 50

y = 55

y = 1/2x + 20   when x = 50

y = 1/2(50) + 20

y = 25 + 20

y = 45

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y = (3(3))(2) - 36

y = 9(2) - 36

y = 18 - 36

y = -18

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y = 2.5(0.66) + 3.8

y = 1.65 + 3.8

y = 5.45

factor the polynomial an-mn-n^2+ma

Answers

Answer:

Reformatting the input :Changes made to your input should not affect the solution: (1): "n2"   was replaced by   "n^2".  1 more similar replacement(s).STEP 1:Trying to factor a multi variable polynomial  1.1    Factoring    m2 - mn + n2 Try to factor this multi-variable trinomial using trial and error  Factorization failsFinal result :  m2 - mn + n2

Step-by-step explanation:

.

∠1 ​ and ∠2 are supplementary.


m∠1=124°
m∠2=(2x+4)°


What is the value of x?


Options:


13


26


40


36


41

Answers

Answer:26

Step-by-step explanation:Since angles 1 and 2 are supplementary, it follows that there sum is 180°.

On this note;

Sum of 1 and 2 is;

180 = 124 + (2x + 4)°

(2x + 4)° = 180 -124

2x = 56 -4

2x = 52

x = 26°.

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Answers

Answer: B

The poster is formed by a triangle and a rectangle, with their formula for the area being [tex]\frac{1}{2}[/tex] x base x height and base x height respectively.

Therefore, the area is  [tex]\frac{1}{2}[/tex] x 27cm x 12cm + 20cm x 15cm, answer being 462cm2 (b) .

b is the correct answer i think

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Answers

Answer:

a) 3/2 or 1 1/2

b) 5/3 or 1 2/3

Step-by-step explanation:

1/2 + 1/2 + 1/2 =

3 x 1/2 =

3/2 or 1 1/2

1/3 + 1/3 + 1/3 + 1/3 + 1/3 =

5 x 1/3 =

5/3 or 1 2/3

Answer: (a) 1 1/2 and (b)  1 2/3

Step-by-step explanation:  (a) 1/2 + 1/2 + 1/2 = 1/2 x 3

                                                                     = 3/2
Now convert this into mixed fractions (basically divide the smaller number of the improper fraction by the the bigger one).

                                            Therefore, 3/2 = 1 1/2 ( 1 1/2 is 1 whole and 1/2)

(b) 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 1/3 x 5
                                                     = 5/3

mixed number = 1 2/3 ( 1 2/3 is 1 whole and 2/3)

Find the volumes to prove whether or not Alice is right.

Answers

The volume are at the top left corner

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Answers

Answer:

give some more information about the question

"Evaluate each expression if a = 9, b = 3
15b + a^2"

Answers

Answer:

The answer for the expression is 126! Hope it helps!


Substitute
15(3) +9(9)
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126

The triangle shown on the coordinate grid is translated 6 units to the right and 3 units down.
Which would be the measure of an angle of the resulting triangle?
(ignore the answer i choose lol) but pls help me

Answers

Answer:

75°

Step-by-step explanation:

Even if a triangle is translated, the original shape stays the same.

So, to get the answer, first add the first two angles of the triangle:

60 + 45 = 105

Then, subtract from 180, because 180 is equaled to all the angles added up on any triangle:

180 - 105 = 75.

So, you get 75°.

If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the rule used was (x, y) --> (x, -y), which transformation has occurred?

A) Reflection across the y-axis
B) Reflection across the x-axis
C) Rotation of 90° around the origin
D) Translation

Answers

Answer: B) Reflection across the x-axis

Step-by-step explanation:

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