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serious [3.7K]
3 years ago
15

3x+y=15 5x-4y=8 resolucion de sistema por el metodo de sustitucion

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

Answer:

x=4

y=3

Step-by-step explanation:

we have the following equations

3x+y=15  equation 1

5x-4y=8  equation 2

using equation 1 we have:

y=15-3x equation 3

using equation 3 in equation 2 we have:

5x-4(15-3x)=8

5x-4*15+4*3x =8

5x-60+12x = 8

17x=68

x=68/17

so we have x=4

finally in equation 3:

y = 15-3(4)

y = 15-12

y = 3

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Monica has 8 more than 3 times the number of marbles Regina has.if Regina has r marbles,how many marbles does Monica have?
jarptica [38.1K]
Monica has +8(3 times (Regina))or

M=8+(3R)

8 0
3 years ago
Twenty-seven (27) months is months less than 3 years.​
andriy [413]

Answer:

9 months

Step-by-step explanation:

3*12-27

36-27

9

3 0
2 years ago
A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?
Marizza181 [45]

Answer:

63 books per capita in the library

<em></em>

Step-by-step explanation:

Given

Books = 2.73 * 10^3

People = 43

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

Average = \frac{Books}{People}

Average = \frac{2.73 * 10^3}{43}

Average = \frac{2.73 * 1000}{43}

Average = \frac{2730}{43}

Average = 63.488372093

Average = 63 (Approximated)

Hence;

<em>There are 63 books per capita in the library</em>

7 0
3 years ago
Consider the following pair of points.
dedylja [7]

Answer:

The answer is

<h2>\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-8) and (-7,-5)

The distance between them is

d =  \sqrt{ ({9 + 7})^{2}  +  ({ - 8 + 5})^{2} }  \\  =  \sqrt{ {16}^{2} + ( { - 3})^{2}  }  \\  =  \sqrt{256 + 9}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{265} \:  \:  \:  \:  \:  \:    \\  = 16.27882

We have the final answer as

\sqrt{265}  \:  \: or \:  \:  16.28 \:  \:  \:  \: units

Hope this helps you

4 0
3 years ago
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
Ivan
The answer is x= 1/2
7 0
3 years ago
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