document.write( "Question 150729: 5x-2y=-16
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document.write( "2x+ y= 8\r
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document.write( "please solve using elimination method \n" );
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Algebra.Com's Answer #110684 by Electrified_Levi(103)![]() ![]() ![]() You can put this solution on YOUR website! Hi, Hope I can help \n" ); document.write( ". \n" ); document.write( "5x-2y=-16 \n" ); document.write( "2x+ y= 8 \n" ); document.write( "please solve using elimination method \n" ); document.write( ". \n" ); document.write( "elimination method is pretty easy, first you either add or subtract the equations to get rid of a letter \n" ); document.write( ". \n" ); document.write( "We can't add or subtract to get rid of a letter, yet. \n" ); document.write( ". \n" ); document.write( "We will add the first two equations to make a new equation \n" ); document.write( ". \n" ); document.write( "5x-2y=-16 \n" ); document.write( "2x+ y= 8 \n" ); document.write( ". \n" ); document.write( "5x-2y=-16 \n" ); document.write( "+ (2x + y= 8) \n" ); document.write( ". \n" ); document.write( "5x-2y=-16 \n" ); document.write( "+ 2x+y= +8 \n" ); document.write( ". \n" ); document.write( "We can move the second equation to the first equation \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "It will become \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We can now add or subtract to get rid of a letter, which is \"y\" \n" ); document.write( ". \n" ); document.write( "We can add the second equation (2x+ y= 8) to our third equation ( 7x - y = -8 ) \n" ); document.write( ". \n" ); document.write( "We will put them side by side \n" ); document.write( ". \n" ); document.write( "7x - y = -8 \n" ); document.write( "2x+ y= 8 \n" ); document.write( ". \n" ); document.write( "We will now add \n" ); document.write( ". \n" ); document.write( "7x - y = -8 \n" ); document.write( "+ (2x + y = 8) \n" ); document.write( ". \n" ); document.write( "7x - y = -8 \n" ); document.write( " + 2x + y= + 8 \n" ); document.write( ". \n" ); document.write( "We will put the equations on top of each other \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "It will become \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "We will divide each side by 9 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "x = \n" ); document.write( ". \n" ); document.write( "x = 0 \n" ); document.write( ". \n" ); document.write( "We can replace \"x\" in our original equations \n" ); document.write( ". \n" ); document.write( "5x-2y=-16 \n" ); document.write( "2x+ y= 8 \n" ); document.write( ". \n" ); document.write( "We will use the second equation \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "y = 8 \n" ); document.write( ". \n" ); document.write( "Our soulution is (0,8) (x,y) (point (0,8) can be put in both of our orignal equations) \n" ); document.write( ". \n" ); document.write( "We can check by replacing \"x\" and \"y\" in our first equation, and second equation \n" ); document.write( ". \n" ); document.write( "First equation \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Second equation \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " Our solution set = (0,8) \n" ); document.write( ". \n" ); document.write( "Hope I helped, Levi \n" ); document.write( " |