document.write( "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? \r
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Algebra.Com's Answer #17627 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
i am assuming you mean: 4x+5y=20 and y=(4/5)x - 6\r
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\n" ); document.write( "\n" ); document.write( "From y=(4/5)x - 6, multiply every term by 5:
\n" ); document.write( "5y = 4x - 30\r
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\n" ); document.write( "\n" ); document.write( "Now sub this into the first equation giving
\n" ); document.write( "4x+5y=20
\n" ); document.write( "4x+4x-30 = 20
\n" ); document.write( "8x-30 = 20
\n" ); document.write( "8x = 50
\n" ); document.write( "x = 50/8
\n" ); document.write( "x = 25/4\r
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\n" ); document.write( "\n" ); document.write( "--> 5y = 4x - 30
\n" ); document.write( "5y = 4(25/4) - 30
\n" ); document.write( "5y = 25 - 30
\n" ); document.write( "5y = -5
\n" ); document.write( "y = -5/5
\n" ); document.write( "y = -1\r
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\n" ); document.write( "\n" ); document.write( "Answer: (25/4, -1)\r
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\n" ); document.write( "\n" ); document.write( "jon.
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