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Keith_Richards [23]
3 years ago
12

3x + 5y = -27 |-7x - 5y = 3

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

  (x, y) = (6, -9)

Step-by-step explanation:

Add the two equations to eliminate the y-variable:

  (3x +5y) +(-7x -5y) = (-27) +(3)

  -4x = -24 . . . simplify

  x = 6 . . . . . . divide by -4

Substitute this value of x into the first equation and solve for y:

  3(6) +5y = -27

  5y = -45 . . . . . . . subtract 18

  y = -9 . . . . . . . . . divide by 5

The solution to this system of equations is (x, y) = (6, -9).

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From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.

<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, and can also be interpreted as the initial value of the function.

For this problem, we have that:

  • The initial height is the intercept.
  • The melting rate, as a negative, is the slope.

Hence the functions are given as follows:

  • A(t) = 51 - 6t.
  • B(t) = 36 - 3t.

The functions are graphed at the end of the answer, with <u>A(t) in red and B(t) in blue,</u> and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.

More can be learned about linear functions at brainly.com/question/24808124

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1 year ago
In the song, 25 percent of the class weighed less than 6 pounds, 1 ounce at birth. 6 pounds, 1 ounce is the
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Step-by-step explanation:

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List all the factors of 19. Tell whether 19 is prime or composite.
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Answer:

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Step-by-step explanation:

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3 years ago
A line with a slope of 9 passes through the points (-7,-10) and (-6,g).What is the value of g?
aleksklad [387]

Answer:

g = -1

Step-by-step explanation:

Given the following data;

Slope, m = 9

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X-axis = x1, x2 = (-7, -6)

Y-axis = (y1, y2) = (-10, g)

Mathematically, slope is given by the formula;

Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}

Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}

Substituting into the equation, we have;

9 = (g - (-10))/(-6 - (-7)

9 = (g + 10)/(-6 + 7)

9 = (g + 10)/1

Cross-multiplying, we have;

9 = g + 10

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