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bixtya [17]
3 years ago
8

The system of equations below has no solution.

Mathematics
2 answers:
olga_2 [115]3 years ago
8 0

Answer:

0=26

Step-by-step explanation:

mixer [17]3 years ago
7 0

Answer:

  • Second option: 0 = 26

Explanation:

This is the given system of equations:

\frac{2}{3} x+\frac{5}{2} y=15\\ \\ 4x+15y=12

A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.

To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:

<u>1. First equation times 6:</u>

6\times\frac{2}{3} x+6\times\frac{5}{2}y=6\times 15\\ \\ 4x+15y=90

<u />

<u>2. Second equation times - 1:</u>

-4x-15y=-12

<u />

<u>3. Add the two new equations:</u>

0=78

<u />

<u>4. Conclusion:</u>

Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.

The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.

In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.

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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (assume that
Lilit [14]
Your sequence
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is a geometric sequence with first term -8 and common ratio
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  an = a1·r^(n-1)
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Show the work on how to answer -3|x|=-24
nignag [31]

Answer:

x=8  x=-8

Step-by-step explanation:

-3|x|=-24

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-3|x|/-3=-24/-3

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There are 2 solutions a positive and a negative

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8 0
3 years ago
Read 2 more answers
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of mon
zaharov [31]

The equation in the form y = mx + b is y = 0.35x + 36.

<h3>How to represent a linear equation?</h3>

The equation formed from the expression is a linear equation and should be expressed in the slope intercept form.

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

y = mx + b

where

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  • y = the total monthly of the Next fell plan

using the coordinates, let's find m

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Hence,

m = 242.5 - 200.5 / 590 - 470

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m = 0.35

Therefore,

y = 0.35x + b

200.5 = 0.35(470) + b

200.5  - 164.5 = b

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Finally, the equation in the form y = mx + b is y = 0.35x + 36.

learn more on linear equation here: brainly.com/question/24223023

#SPJ1

7 0
1 year ago
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