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Svetradugi [14.3K]
3 years ago
12

Solve the system of equations x + y = 4 and -9x + 7y = -84 by combining the equations.

Mathematics
1 answer:
Yanka [14]3 years ago
6 0

Answer:

x = 7

y = -3

Step-by-step explanation:

x + y = 4                 (Multiply this by 9)

-9x + 7y = -84

9x + 9y = 36

-9x + 7y = -84

16y = -48

y = -3

x + y = 4  

x - 3 = 4

x = 7

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A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init
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Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is b = 25, the slope is of a = 0.09, and the function is:

A(x) = 0.09x + 25

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is b = 0, the slope is of a = 0.14, and the function is:

B(x) = 0.14x

The plans cost the same for x minutes of calling, considering that:

B(x) = A(x)

0.14x = 0.09x + 25

0.05x = 250

x = \frac{250}{0.05}

x = 5000

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

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Step-by-step explanation:

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