document.write( "Question 1088550: Eliminate the parameter in the equation x=3-2t, y=2+3t to find the corresponding rectangular equation. \n" ); document.write( "

Algebra.Com's Answer #702834 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Eliminate the parameter in the equation x=3-2t, y=2+3t to find the corresponding rectangular equation.
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document.write( "Eliminating the parameter is quite simple in this case.\r\n" );
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document.write( "Express t =  from the first equation and substitute it to the second equation. You will get\r\n" );
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document.write( "y = 2 + .\r\n" );
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document.write( "Multiply by 2 both sides to get\r\n" );
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document.write( "2y = 4 + 3*(3-x) = 4 + 9 - 3x = 13 - 3x,   or, which is equivalent,\r\n" );
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document.write( "3x + 2y = 13.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Ignore other solution, since it is WRONG.\r
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