document.write( "Question 245800: 9x-9y=9
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document.write( "7y-3x=-5
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document.write( "This one is supposed to be solved by the elimination method
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document.write( "the solution is an ordered pair, and I am really stumped, can someone help pleeese!!Thank You. \n" );
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Algebra.Com's Answer #179469 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! You have two unknowns and two equations: \n" ); document.write( "9x-9y=9 \n" ); document.write( "7y-3x=-5 \n" ); document.write( ". \n" ); document.write( "Reordering the second equation: \n" ); document.write( " 9x-9y=9 \n" ); document.write( "-3x+7y=-5 \n" ); document.write( ". \n" ); document.write( "The idea is to combine (add) both equations together to get rid of one of the unknowns. \n" ); document.write( ". \n" ); document.write( "We start by multiplying the second equation by 3: \n" ); document.write( " 9x-9y=9 \n" ); document.write( "3(-3x+7y)=3(-5) \n" ); document.write( ". \n" ); document.write( " 9x-9y=9 \n" ); document.write( "-9x+21y=-15 \n" ); document.write( ". \n" ); document.write( "Now, we add the two equations together: \n" ); document.write( " 9x-9y=9 \n" ); document.write( "-9x+21y=-15 \n" ); document.write( "------------ \n" ); document.write( " 12y=-6 \n" ); document.write( " y = -6/12 \n" ); document.write( " y = -1/2 \n" ); document.write( ". \n" ); document.write( "Substitute the above into our original first equation: \n" ); document.write( "9x-9y=9 \n" ); document.write( "9x-9(-1/2)=9 \n" ); document.write( "9x-(-9/2)=9 \n" ); document.write( "9x+9/2=9 \n" ); document.write( "x+1/2=1 \n" ); document.write( "x = 1-1/2 \n" ); document.write( "x = 1/2 \n" ); document.write( ". \n" ); document.write( "Solution: \n" ); document.write( "(x,y) = (1/2, -1/2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |