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Lena [83]
2 years ago
7

3x+4y-3z=4;5x-y+2z=3;x+2y-z=-2 Solving Systems in three variables​

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
6 0

Answer:  x = 3, y = 1, z = 2

<u>Step-by-step explanation:</u>

EQ 1:   x  -   y  - z = 0

EQ 3:<u> -x + 2y + z =  1 </u>

                  y       = 1

EQ 2: 2x - 3y + 2z = 7  →  1(2x - 3y + 2z = 7)  →  2x - 3y + 2z = 7

EQ 3:  -x + 2y +  z = 1   → -2( -x + 2y +  z = 1)  → <u>-2x + 4y + 2z = 2</u>

                                                                                      y + 4z = 9

                                                                    y = 1  ⇒     1  + 4z = 9

                                                                                            4z = 8

                                                                                              z = 2

Input y = 1 and z = 2 into one of the equations to solve for x:

EQ 1: x - y - z = 0

        x - (1) - (2) = 0

        x - 3 = 0

        x = 3

Check:

EQ 2: 2x - 3y + 2z = 7

         2(3) - 3(1) + 2(2) = 7

          6    -  3    +  4    = 7

                3        +  4    = 7

                               7   =  7   \checkmark

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Here,

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Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

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In Joe's fish tank, there are 5 goldfish and 9 snails. How does the ratio 9:14 describe Joe's fish tank?
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4 0
2 years ago
On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. Y
cricket20 [7]

Answer:

Cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Step-by-step explanation:

Let the cost of water bottle = $a

Cost of 1 gallon milk = $b

and cost of 1 bag of chips = $c

So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)

4b + 6a + 5c = 27.2 -----(1)

Cost of one water bottle = 2 × cost of one bag of chips

a = 2c -----(2)

A gallon of milk = cost of water bottle + $1.80

b = a + 1.8

From equation (2)

b = 2c + 1.8 -----(3)

Now we substitute these values from equations (2) and (3) in equation (1)

4(2c + 1.8) + 6(2c) + 5c = 27.2

8c + 7.2 + 12c + 5c = 27.2

25c = 27.2 - 7.2

c = \frac{20}{25}

c = $0.8

From equation (2)

a = 2×0.8

a = $1.6

From equation (3)

b = 2(0.8) + 1.8

b = 1.6 + 1.8

b = $3.4

Therefore, cost of a snack size bag of chips = $0.8

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5 0
3 years ago
The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?
dimaraw [331]
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so 5 times 2x-3

if you multiply them together 5(2x-3) you would get 10x-15

there is no value of x

so the area would be 10x-15ft^2
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2 years ago
Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the ques
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Answer:

32,768 ways

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32 * 1024 = 32,768 ways

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