document.write( "Question 951115: `In a rectangle, one side equals 6y-6 and its opposite side equals 2x+20. The other side equals 3x+21 and its opposite side equals 6y. Find x and y. \n" ); document.write( "

Algebra.Com's Answer #580962 by Fombitz(32388) $\"\"$ $\"About$

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Since opposite sides are congruent.
\n" ); document.write( " $\"6y-6=2x%2B20\"$
\n" ); document.write( " $\"-2x%2B6y=26\"$
\n" ); document.write( "1. $\"x-3y=-13\"$
\n" ); document.write( "and
\n" ); document.write( " $\"3x%2B21=6y\"$
\n" ); document.write( " $\"x%2B7=2y\"$
\n" ); document.write( "2. $\"x-2y=-7\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"x-2y-x%2B3y=-7%2B13\"$
\n" ); document.write( " $\"y=6\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"x-3%286%29=-13\"$
\n" ); document.write( " $\"x-18=-13\"$
\n" ); document.write( " $\"x=5\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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