SOLUTION: 19. Consider two ships, one on a course described by the equation 0.6x + 0.3y = 2.1 and the other on a course described by the equation �0.3x + 0.1y = �1.8. Which of the following

Question 740975: 19. Consider two ships, one on a course described by the equation 0.6x + 0.3y = 2.1 and the other on a course described by the equation �0.3x + 0.1y = �1.8. Which of the following sentences best describes the possibility of a collision?
A. There will certainty be a collision at the point (6, 0).
B. There is a possibility of a collision at the point (0, 7) but a collision is not a certainty. C. There is no possibility for a collision.
D. There is a possibility of a collision at the point (5, �3) but a collision is not a certainty.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
19. Consider two ships, one on a course described by the equation 0.6x + 0.3y = 2.1 and the other on a course described by the equation �0.3x + 0.1y = �1.8. Which of the following sentences best describes the possibility of a collision?
A. There will certainty be a collision at the point (6, 0).
B. There is a possibility of a collision at the point (0, 7) but a collision is not a certainty. C. There is no possibility for a collision.
D. There is a possibility of a collision at the point (5, �3) but a collision is not a certainty.
------------------------
Find the intersection of the lines of the equations, if any.
0.6x + 0.3y = 2.1 x10/3 --> 2x + y = 7
�0.3x + 0.1y = �1.8 x10 --> -3x + y = -18
-------------------
2x + y = 7
-3x +y = -18
--------------- Subtract
5x = 25
x = 5
-------
y = -3
--> intersection at (5,-3)
Both ships would cross the point (5,-3) but not necessarily at the same time.

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