document.write( "Question 317072: Solve the system of equations and enter the solution as an ordered pair.
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document.write( "2x-5y=-6
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document.write( "8x+3y=68 \n" );
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Algebra.Com's Answer #227002 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! 2x-5y=-6 \n" ); document.write( "8x+3y=68\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:\r \n" ); document.write( "\n" ); document.write( "8x-20y = -24 \n" ); document.write( "8x +3y = 68 \n" ); document.write( "------------ \n" ); document.write( "0 -23y = -92\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now divide both sides by -23:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Find x by plugging y=4 into either equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x +3(4) = 68 \n" ); document.write( "8x = 68 - 12 \n" ); document.write( "8x = 56 \n" ); document.write( "x = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the answer is ordered pair is (7,4) \n" ); document.write( " |