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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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There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?
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Answer:

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Step-by-step explanation:

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The equation version:

\frac{a}{60} = \frac{30}{100}

It is just proportions.

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Jermayne had 30 Apple he give 2/3 pf the apple to kath how many did he have left .
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Juan invest $3700 in a simple interest account at a rate of 4% for 15 years
OleMash [197]

<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r }{100}

Where,

p is the principal

n is number of years

r is rate of interest

From given,

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r = 4 %

t = 15 years

Therefore,

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<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

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What is $220 marked up 60%​
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Answer would be $366.70

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