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valina [46]
2 years ago
13

2x-3y=-14

Mathematics
2 answers:
dezoksy [38]2 years ago
8 0
2x-3y=-14/×(-3) <=>-6x +9y=42
3x-2y=-6/×2<=>6x-4y=-12 se reduce -6x cu 6x si ne ramane 5y=30<=>y=6 , luom o ec care o vrem si inlocuim pe y cu 6 ...3x -2x=-6<=>3x-12=-6<=>3x=6<=>x= 2 , x-y=2-6=-4
MArishka [77]2 years ago
5 0

Answer:

Step-by-step explanation:

The given system of equations :

2x-3y=-14.............................(1)\\3x-2y=-6.........................(2)

Multiply equation (1) with 3 and equation (2) with 2 , we get

6x-9y=-42.............................(3)\\6x-4y=-12.........................(4)

Now subtract equation (4) from equation (3), we get

5y=30\\\\\Rightarrow\ y=6

Substitute the value of y in equation (1), we get

2x-3(6)=-14\\\\\Rightarrow\ 2x=-14+18\\\\\Rightarrwo\ 2x=4\\\\\Rightarrow\ x=2

Hence, the solution of the system : (x,y)=(2,6)

Now, consider  x-y and substitute the value of x and y , we get

2-6=-4

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harina [27]

Answer:

the answer is 40/4

Step-by-step explanation: 7 1/4 3/4 40/4

6 0
2 years ago
Explain why 3/4 of 16 is the same as 3 x 16 divided by 4<br> Please Help
pogonyaev

Answer:

<em>I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.</em>

Step-by-step explanation:

Since 3/4 is a fraction, all fractions can be converted into decimals.

3/4 is also known as 75%, which can be simplified into 0.75 in decimal terms.

Now that you know that 3/4 can be simplified to 0.75, you now need to take that 0.75, and multiply it by 16. You can use a calculator to do this, or you could work it out on a sheet of paper.

An easy way to do this, is to know that 25%, (0.25) of 16 is 4. This is because 4 times 4 is 16. Knowing this, if you are looking for 75% of 16, (0.75) you can multiply 4 by 3, knowing that it is 75% of 16.

The answer to that is 12.

3 x 16 = 48 and if you take 48 and divide it by 4, you will get 12.

You can explain this by writing; <em>I know that 3/4 is 75%, and I also know that 3 times 16 is 48. Since I divide 48 by 4, it is the same as multiplying 4 by 3, knowing that it is 25% of 16.</em>

7 0
3 years ago
The lifespan of a lion in a particular zoo are normally distributed. The average lion lives 12.5 years the. Standard deviation i
Anika [276]

Answer:

0.1585

Step-by-step explanation:

Solution:-

The lifespan of a lion in a particular zoo is normally distributed with average lion lives:

                    Mean u = 12.5 years

                    Standard deviation s = 2.4 years

We are to use the empirical rule ( 68-95-99.7% ) to estimate the probability of a lion living between 5.3 and 10.1.

- The empirical rule ( 68-95-99.7% ) states:

                     P ( u - s < X < u + s ) = 68%

                     P ( u - 2s < X < u + 2s ) = 95%

                     P ( u - 3s < X < u + 3s ) = 99.7%

- The test have the following number of standard deviations (s):

                 

                    u - s < X < u + s  = 12.5 - 2.4 < X < 12.5 + 2.4  = 10.1 < X < 14.9

                    u - 2s < X < u + 2s = 12.5 - 4.8 < X < 12.5 + 4.8  = 7.7 < X < 17.3

                    u - 3s < X < u + 3s = 12.5 - 7.2 < X < 12.5 + 7.2  = 5.3 < X < 19.7

Hence,

                   P ( 10.1 < X < 14.9 ) = 0.68

                   P ( 7.7 < X < 17.3 ) = 0.95

                   P ( 5.3 < X < 19.7 ) = 0.997

-  We need P ( X < 10.1 ) and P ( X < 5.3 ):

                  P ( X < 10.1 ) = [ 1 - P ( 10.1 < X < 14.9 ) ] / 2

                                      = [ 1 - 0.68 ] / 2

                                      = 0.16

                  P ( X < 5.3 ) = [ 1 - P ( 5.3 < X < 19.7 ) ] / 2

                                      = [ 1 - 0.997 ] / 2

                                      = 0.0015

Hence,

                 P ( 5.3 < X < 10.1 ) = P ( X < 10.1 ) - P ( X < 5.3 )

                                               = 0.16 - 0.0015

                                               = 0.1585

5 0
3 years ago
What is the domain of the function {(-1,-1), (0, 1), (2, -1)}?
DochEvi [55]

Answer:

The domain would be {-1,0,2}.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
3(2x+1)=5(2-x)+3(x+4) <br><br> X=?
Len [333]
X=2 3/8 or you can write it x=2.375
8 0
2 years ago
Read 2 more answers
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