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Andrej [43]
3 years ago
14

the lines whose equations are 7x-3y=1 and 6x+y=8 intersect at one point. What is the x-coordnate at that point

Mathematics
1 answer:
elena55 [62]3 years ago
5 0

Answer:

  x = 1

Step-by-step explanation:

Using the second equation to substitute for y in the first equation will eliminate the y-variable and give you an equation for the x-coordinate.

  y = 8 -6x . . . . second equation solved for y

  7x -3(8 -6x) = 1 . . . . substituted into the first equation

  7x -24 +18x = 1 . . . . eliminate parentheses

  25x = 25 . . . . . . . . add 24

  x = 1 . . . . . . . . . . . . divide by the coefficient of x

The x-coordinate of the point of intersection is 1.

__

<em>Additional comment</em>

The y-coordinate can be found using our equation for y:

  y = 8 -6(1)

  y = 2

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Answer:

<u>87,120 ft²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Surface area of the Empire State building replica = 45 square feet

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2. What is the surface area of the actual Empire State Building in square feet?

For answering the question, we will make the following calculations:

45 square feet = 9 feet * 5 feet or,

45 square feet = 10 feet * 4.5 feet, or,

45 square feet = 20 feet * 2.25 feet.

Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:

(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²

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(20 * 44) * (2.25 * 44) =  880 * 99 = 87,120 ft²

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3 years ago
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