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leva [86]
3 years ago
15

Questions 6 and 7 and 9 and 10 please

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0
6. 52x
7. 0.5(n+5)
9. 33b-12
10. 17c+2
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7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
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Answer:

  (x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

  7a +4b = 5/4

  8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

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Substituting into the first equation gives ...

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Now, we can get back to solving for x and y.

  4x +3y = 1/a = 28

  4x -3y = 1/b = 4

  8x = 32 . . . . . . . . . add the two equations

  x = 4

  3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

  y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

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<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

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2 years ago
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18/15 = 1.2

30/25 = 1.2

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8 0
3 years ago
a rental car agency charges 190 per a week plus .25 per mile to rent a car. How many miles can you travel in one week for 370
alekssr [168]

Let m represent the number of miles traveled. If the whole budget amount of 370 is spent, then ...

... 190 + 0.25m = 370

... 0.25m = 280

... m = 280/0.25 = 1120

For 370, you can travel 1120 miles.

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