document.write( "Question 705224: Find the value of x and y. Side DC is x+2y , CB is 15 , BA is 25, and side AD is 2x - 3y. \n" ); document.write( "
Algebra.Com's Answer #434454 by filboi(35)![]() ![]() ![]() You can put this solution on YOUR website! It would help if you write the figure in a piece of paper.\r \n" ); document.write( "\n" ); document.write( "Since DC=AB: \n" ); document.write( "x+2y=25 ; x=25-2y Eq.1\r \n" ); document.write( "\n" ); document.write( "And AD=CB: \n" ); document.write( "2x-3y=15 Eq.2\r \n" ); document.write( "\n" ); document.write( "Substitute x in Eq.2. \n" ); document.write( "2(25-2y)-3y=15 \n" ); document.write( "50-4y-3y=15\r \n" ); document.write( "\n" ); document.write( "Solving for y will give y=5. Then substitute the value of y in Eq.1: \n" ); document.write( "x=25-2(5)=15\r \n" ); document.write( "\n" ); document.write( "So the answer is (x,y)=(15,5) or x=15, y=5. \n" ); document.write( " |