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Deffense [45]
3 years ago
15

How do I find X Y and Z using these equations: 2x-y+2z=7 -x+2y-2z=-6 and -2x+3y-4z=-9 ?​

Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0

Answer:

x=4/5, y=1/5, z=14/5

or

using decimals

x=0.8,  y=0.2,  z= 2.8

Step-by-step explanation:

2x-y+2z=7 (1)

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

2x+3y-4z=-9 (3)

1) Add equations (1) and (2)

2x-y+2z=7

<u>-x+2y-2z= - 6</u>

x + y     =  1  (equation 5)

2) Multiply equation (2) by - 2

<u> -x+2y-2z= - 6 / *(-2)</u>

2x  - 4y+4z = 12     (equation 4)

3) add equation (4) and (3)

2x  - 4y+4z = 12

<u>2x   +3y -4z= - 9</u><u> </u>

4x - y  =         3 (equation 6)

4) Add equation (5) and equation (6) to find x

x + y     =  1

<u>4x - y  =  3 </u>

5x      = 4

x = 4/5

5) Use equation 5 to find y

x+y = 1,  x=4/5

4/5+y=1

y=1/5

6) Use equation (1) to find z

2x-y+2z=7 , x=4/5, y=1/5

2*4/5 - 1/5 +2z =7

8/5-1/5 +2z = 7

7/5 + 2z = 7

2z = 7- 7/5

2z = 35/5 - 7/5

2z = 28/5

z =14/5

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Straw are sold in packs and boxes there are 15 straws in each pack there are 48 straws in each box Tricia buys p packs of straws
kramer

So the expression for total number of straws is: 15p+48b

Step-by-step explanation:

We know that:

Straws in a pack = 15

Straws in a box = 48

Here

p denotes the number of packs and b is the number of boxes.

The product of number of packs and number of straws in a pack will give us the total straws in packs

15*p = 15p

Similarly, the product of number of boxes and number of straws in a box will give us the total straws in box

48*b = 48b

The sum of both will give us the total number of straws

So the expression for total number of straws is: 15p+48b

Keywords: Linear expressions, Variables

Learn more about linear expressions at:

  • brainly.com/question/9381080
  • brainly.com/question/9532142

#LearnwithBrainly

8 0
3 years ago
For the function f(x) = 8x7, find f-¹(x).
Zanzabum

Answer:

f^-1(x)= \sqrt[7]{x} /8

Step-by-step explanation:

f(x)=8x^7

x^7=f(x)/8

x=\sqrt[7]{x} /8

f^-1(x)= \sqrt[7]{x} /8

6 0
2 years ago
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La
tatyana61 [14]

Answer:

32 tablespoons

$2.8

Step-by-step explanation:

Problem 1:

A chef has 2 cups of vinegar and she knows that there are 8 fluid ounces in one cup.

So, in total in 2 cups of vinegar, there are (8×2) =16 fluid ounces of liquid.

Now, 2 tablespoons volume is there in 1 fluid ounce.

Therefore, in total in 2 cups of vinegar, there are (16×2) =32 tablespoons of volume. So, option A is correct. (Answer)

Problem 2:

In a market, 7 oranges are sold for $2.45.

So, in this market 8 oranges are sold for \frac{2.45*8}{7} =$2.8 (Answer) {By simple unitary method of calculation}

6 0
3 years ago
Please help and thank you
wel

Answer:

D.

Step-by-step explanation:

You want to find the points on each side. Because it is greater than or equal to -4, there will be a solid circle on the -4. Since D is the only answer with a solid circle on -4, that should be the answer.

6 0
3 years ago
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CaHeK987 [17]

Answer:

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7 0
2 years ago
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