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RoseWind [281]
2 years ago
9

Solve the equation 4(x + 5) = 9x + 4x - 34, and show your work

Mathematics
1 answer:
Alla [95]2 years ago
5 0

Answer: 4x + 20 = 13x - 34

Step-by-step explanation:

For the first one, you have to do distributive property.

4*x = 4x, 4*5 = 20

4x + 20

For the second one, you have to add the 9x + 4x.

9x + 4x = 13x

13x - 34

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3 years ago
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Step-by-step explanation:

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3 years ago
Alexa pays 7/20 of a dollar for each minute she uses her pay-as-you-go phone for a call, and 2/5 of a dollar for each minute of
9966 [12]

Answer:

  • The system of equations is x + y = 85 and 7/20x+2/5y=31
  • To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
  • B-She used 60 minutes for calling and 25 minutes for data.

Step-by-step explanation:

It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...

  x + y = 85

The total of charges is the sum of the products of charge per minute and minutes used:

  7/20x + 2/5y = 31.00

We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.

  -7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)

  -7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses

  y = 25 . . . . . . . . simplify

Then the value of x is

  x = 85 -y = 85 -25

  x = 60

7 0
3 years ago
Read 2 more answers
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