document.write( "Question 809878: We are given the three sides of a regular polygon as listed below, the top side is 2x-4, the right side is 4y-x and the bottom side is x+y. \r
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document.write( "2x-4
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document.write( "4y-x
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document.write( "x+y\r
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document.write( "Solve for x and y. \r
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document.write( "I keep getting different answers for x and y when using the substitution method. Thank you for your time and assistance. \n" );
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Algebra.Com's Answer #487906 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! We are given the three sides of a regular polygon as listed below, the top side is 2x-4, the right side is 4y-x and the bottom side is x+y. \n" ); document.write( ": \n" ); document.write( "A regular polygon has all sides and angles equal, therefore \n" ); document.write( "2x - 4 = x + y \n" ); document.write( "2x - x = y + 4 \n" ); document.write( "x = y + 4 \n" ); document.write( "also \n" ); document.write( "2x - 4 = 4y - x \n" ); document.write( "2x + x - 4y = 4 \n" ); document.write( "3x - 4y = 4 \n" ); document.write( "replace x with (y+4) \n" ); document.write( "3(y+4) - 4y = 4 \n" ); document.write( "3y + 12 - 4y = 4 \n" ); document.write( "3y - 4y = 4 - 12 \n" ); document.write( "-y = -8 \n" ); document.write( "y = 8 \n" ); document.write( "then \n" ); document.write( "x = 8 + 4 \n" ); document.write( "x = 12 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by seeing if all the sides are equal with these value \n" ); document.write( "2x - 4 \n" ); document.write( "24 - 4 = 20 \n" ); document.write( ": \n" ); document.write( "x + y \n" ); document.write( "12 + 8 = 20 \n" ); document.write( ": \n" ); document.write( "4y - x \n" ); document.write( "32 = 12 = 20 \n" ); document.write( " |