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NikAS [45]
1 year ago
11

What is the solution to this system of equations?

Mathematics
1 answer:
bekas [8.4K]1 year 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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Evaluate 15% of 80% of 90
Marizza181 [45]
First you find 80% of 90. Set up the proportion:
80 X
—— = —-
100 90
I’m simplifying the 80/100 so it’ll be easier to solve:
4 X
— = —-
5 90
Then cross multiply:
4(90) = 5x
360 = 5x
x = 72

So 80% of 90 is 72. (Or you could have multiplied 90 by 0.8 as a shortcut). Now you find 15% of 72. You can either multiply 72 by 0.15 or set up the proportion like this:
15 X
—— = —-
100 72
Cross multiply and solve. You should get 10.8
8 0
3 years ago
At a local high school football game, 150 randomly selected people were surveyed about the location of the concession stand. 108
Nesterboy [21]

Answer:

Option B

<em>The best point estimate of the proportion of people attending the game who believe that the concession stand should be closer to the stands is:</em>

<em>p = 0.72.</em>

Step-by-step explanation:

We want to estimate the proportion of people who feel that the stand should be closer to the stands.

We have a sample of 150 people, of which 108 think that the stand should be closer to the stands.

A point estimator for the proportion p is p\¨.

Where

p\¨ = \frac{x}{n}

Where n represents the size of the sample and represents the number of favorable cases.

We know that n = 150 and x = 108.

Then we can estimate p by the estimator p\¨

p\¨= \frac{108}{150}

p\¨ = 0.72

4 0
3 years ago
Read 2 more answers
I need help on this. Sorry for the work on my paper.
vazorg [7]
3X+28=200
X represents the amount of money each friend gets


5 0
3 years ago
20 points to who solves it first​
Bingel [31]

Answer:

I dont really understand this question

Step-by-step explanation:

can you explain it a little more?

4 0
3 years ago
Solve. 7 9/16 ÷ 2 3/4
kotykmax [81]

Answer:

2 3/4

7 9/16 ÷ 2 3/4 = 2.75

so 2.75 as a fraction is 11/4

then we simplify 11/4= 2 3/4

7 0
3 years ago
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