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Ber [7]
3 years ago
14

Solve the system by substitution. − x − y − z = − 8 − 4 x + 4 y + 5 z = 7 2 x + 2 z = 4

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer:

The answer to your question is:

x = 3

y = 6

z = - 1

Step-by-step explanation:

                                              - x - y - z = - 8      (I)

                                         - 4x + 4y + 5z = 7     (II)

                                                   2x + 2z = 4     (III)

                                                   2z = 4 - 2x

                                                     z = 2 - x       (IIIA)

Substitute IIIA in I

- x - y - (2 - x) = - 8      - x - y - 2 + x = -8      - y - 2 = -8      - y = -8 + 2   y = 6

Substitute IIIA and y in II

                                         - 4x + 4(6) + 5(2 - x) = 7  

                                           -4x + 24 + 10 - 5x = 7

                                          -9x = 7 -34

                                          -9x = -27

                                          x = 3

Substitute x in IIIA

                                                z = 2 - 3

                                                z = - 1                    

                                     

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J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hour
san4es73 [151]

Answer:

The rate of change for each reader is :

For J K Rowling :  17 and a half pages per hour

For R L Stone :  15   pages  per hour

Step-by-step explanation:

Here the reading rate of each reader is given as:

J.K. Reads 35 pages every 2 hours.

So, the number of pages read by J K  in 2 hours  = 35 pages

⇒ The number of pages read per hour  =  35 / 2  = 17 . 5 pages

So, the pages read by J K Rowling in 1 hour is 17 and a half pages.

R L Stone reads 45 pages every 3 hours.

So, the number of pages read by R L  in 3 hours  = 45 pages

⇒ The number of pages read per hour  =  45 / 3  = 15 pages

So, the pages read by R L Stone in 1 hour is 15 pages.

Hence, the rate of change for each reader is :

For J K Rowling :  17 and a half pages  per hour

For R L Stone :  15   pages  per hour

5 0
4 years ago
2Y - 1.7 =3.3 <br><br> HELP !!!!!
bogdanovich [222]

Answer:

2.5

Step-by-step explanation:

Simplifying

2y + -1.7 = 3.3

Reorder the terms:

-1.7 + 2y = 3.3

Solving

-1.7 + 2y = 3.3

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '1.7' to each side of the equation.

-1.7 + 1.7 + 2y = 3.3 + 1.7

Combine like terms: -1.7 + 1.7 = 0.0

0.0 + 2y = 3.3 + 1.7

2y = 3.3 + 1.7

Combine like terms: 3.3 + 1.7 = 5

2y = 5

Divide each side by '2'.

y = 2.5

Simplifying

y = 2.5

3 0
3 years ago
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Opdojwjdojodwojwdojwdjdowojdojojddowjdojdwojdojwdo
s344n2d4d5 [400]

Answer:

elflaerkhg/lndfklnds/lfknas.dgsnf.raekjhg.re;ihnvdltnh45

Step-by-step explanation:

yeah <3

8 0
3 years ago
Read 2 more answers
Help mathematics need answer asap
Elina [12.6K]
Idk but it can't be 10 or 9.7 bc a triangle's hypotenuse is always longer than its legs
5 0
3 years ago
Can anyone help me on #3?? And explain?
Alekssandra [29.7K]
Since we know the polygons are similar, the side length ratio of each side must be equal.
13/5 = x/10
Multiply both sides by 10
x = 26
That's your answer. Have a nice day! :)
7 0
4 years ago
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