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Musya8 [376]
3 years ago
13

Solve each system by graphing, check your answer Y=3x+13 Y=x-3

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer:

x = -8

Y = -11

Step-by-step explanation:

Given

Y = 3x + 13

Y = x - 3

Substitute x - 3 for Y in the first equation

We have

Y = 3x + 13

x - 3 = 3x + 13

Add 3 to both sides

x - 3 + 3 = 3x + 13 + 3

x = 3x + 16

Subtract 3x from both sides

x - 3x = 3x - 3x + 16

-2x = 16

Divide both sides by -2

x = 16/-2

x = -8

Now substitute -8 for x in any of the above equations to get Y.

Using the second equation, we have

Y = x - 3

Y = -8 - 3

Y = -11

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Answer:

25 ft^2

Step-by-step explanation:

In direct variation, if y varies directly with x, then the equation has the form

y = kx,

where k is the constant of proportionality. y is proportional to x.

Let's call the area y and the distance x.

Here, the area varies with the square of the distance, so the equation has the form

y = kx^2

Here, y is proportional to the square of x.

We can find the value of k by using the given information.

y = kx^2

When x = 20 ft, y = 16 ft^2.

16 = k(20^2)

k = 16/400

k = 1/25

The equation of the relation is:

y = (1/25)x^2

Now we use the equation we found to answer the question.

What is y (the area) when x (the distance) is 25 ft?

y = (1/25)x^2

y = (1/25)(25^2)

y = 25

Answer: 25 ft^2

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