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lesantik [10]
3 years ago
13

Determine the solution to the system of equations:

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0
  x - 3y = 1   ⇒ 3x - 9y = 3
3x - 5y = 11 ⇒ 3x + 5y = 11
                             -14y = -8
                              -14    -14
                                   y = ⁴/₇
                            x - 3y = 1
                           ⁴/₇ - 3y = 1
                         - ⁴/₇        - ⁴/₇
                                -3y = ³/₇
                                 -3     -3
                                   y = ⁻¹/₇
                             (x, y) = (⁴/₇, ⁻¹/₇)
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Answer:

  (3)  y = 4x

Step-by-step explanation:

In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.

Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.

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3 years ago
Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is
Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So,  distance between park and Gary's house = speed × time

= 50 × 2.5

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So, the park is 125 miles away from the Gary's house.

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Answer:

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