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Lena [83]
3 years ago
12

Find the solution of this system of equations -4y = -64 - 6x 4x - 4y = -36

Mathematics
1 answer:
blagie [28]3 years ago
4 0

The solution of system is x=14, y=37

Step-by-step explanation:

Given equations are:

-4y = -64 - 6x  => 6x-4y=-64     Eqn 1

4x - 4y = -36     Eqn 2

Subtracting equation 2 from eqn 1

(6x-4y)-(4x - 4y) = -36+64\\6x-4y-4x+4y=28\\2x=28\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{28}{2}\\x=14\\Putting\ x=14\ in\ equation\ 1\\-4y=-64-6(14)\\-4y=-64-84\\-4y=-148\\Dividing\ both\ sides\ by\ -4\\\frac{-4y}{-4}=\frac{-148}{-4}\\y=37

The solution of system is x=14, y=37

Keywords: Linear equation, Elimination method

Learn more about linear equations at:

  • brainly.com/question/4706270
  • brainly.com/question/4710621

#LearnwithBrainly

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Answer:

  24 miles

Step-by-step explanation:

The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...

  1.75xx +2.90 = 44.90 . . .  equation for xx

  1.75xx = 42.00 . . . . . subtract 2.90

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The number of miles in Nicole's taxi ride was 24.

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Answer:

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Step-by-step explanation:

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2 years ago
Two arithmetic means between 3 and 24 are -
defon

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

<h3>What is arithmetic mean?</h3>

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}

The second and 3rd term are:

A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Learn more about the arithmetic mean here;

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Answer:

Ac CA is your answer

Step-by-step explanation:

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