SOLUTION: The paths of two ships are tracked on the same coordinate system. One ship is following a path described by the equation 4x + 5y = 20 , and the other is following a path described

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The paths of two ships are tracked on the same coordinate system. One ship is following a path described by the equation 4x + 5y = 20 , and the other is following a path described      Log On


   

Question 30887: The paths of two ships are tracked on the same coordinate system. One ship is following a path described by the equation 4x + 5y = 20 , and the other is following a path described by the equation y = 4/5x -6 . What are the coordinates of the collision point?
Enter your answer as an ordered pair
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
i am assuming you mean: 4x+5y=20 and y=(4/5)x - 6

From y=(4/5)x - 6, multiply every term by 5:
5y = 4x - 30

Now sub this into the first equation giving
4x+5y=20
4x+4x-30 = 20
8x-30 = 20
8x = 50
x = 50/8
x = 25/4

--> 5y = 4x - 30
5y = 4(25/4) - 30
5y = 25 - 30
5y = -5
y = -5/5
y = -1

Answer: (25/4, -1)

jon.