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NikAS [45]
2 years ago
11

What is the solution to this system of equations?

Mathematics
1 answer:
bekas [8.4K]2 years ago
3 0

The solution is, there are infinitely many solutions to the system.

<h3>What is equation?</h3>

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given:

3x - y + 4z = -10...(1)

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

2x - y + z = -8....(3)

From (1)

-y= -10-4z-3x

y= 10+4z+3x

from (2)

y=6-2z+x

equating above equations

10+4z+3x = 6-2z+x

4+6z+2x=0

x+3z+2=0

Now, from (3)

-y= -8-z-2x

y= 8+z+2x

again equating

6-2z+x = 8+z+2x

-2-3z-x=0

x+3z+2=0

As, both equations are same it is not possible to solve further.

Hence, there are infinitely many solutions to the system.

Learn more about this concept here:

brainly.com/question/14659401

#SPJ1

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-2 + (–15) = –(2 + 15) what property is this equation
barxatty [35]

Hello.

The answer is: The Commutative property

The Commutative property states that order does not matter. Multiplication and addition are commutative. Commutative is also when you change the order of the equation but its still that same answer.

Have a nice day.




4 0
3 years ago
Researchers at Gallup were interested in whether there was a decrease in the proportion of nonretirees (in other words, people w
Lera25 [3.4K]

Answer:

A. We have extremely strong evidence to reject H0.

Step-by-step explanation:

Let P be the proportion of non-retirees in 2015 who did not think that Social Security would be able to pay a retirement benefit by the time that they retire.

According to the data null and alternative hypotheses should be:

  • H_{0}: P=0.60
  • H_{a}: P<0.60

Test statistics is -4.29 and p-value of the statistics is p<0.001

At every significance levels higher than 0.001, we can reject the null hypothesis since p<0.001.

8 0
3 years ago
The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5
Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%  

⇒   P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%  

   ⇒   P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%    

⇒   P(A∪ C) = 17/100 =   0.17

Now, we know that:

<h3> P(X ∪ Y) = P(X) + P(Y) -  P(X ∩ Y ) </h3><h3></h3>

Now, here substituting the values, we get:

P(A∪ C)  = P(A) + P(C) - P(A ∩ C )

⇒  0. 17  =  0.12 + P(C) -  0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0
3 years ago
Find the height of the triangle in which A=192 cm^2
romanna [79]

Step-by-step explanation:

one second 12345678910

6 0
3 years ago
I need to know the answer and how to get it
Stells [14]
The answer is 6.25 square kilometres

one side is 1.25 and the other will be 1.25*4 =5
and for the area we multiply the two 1.25*5=6.25
7 0
3 years ago
Read 2 more answers
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