document.write( "Question 19092: Please help me solve this linear system by using the elimination method.\r
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document.write( "x - 2y = 6
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document.write( "2x + y = 4 \n" );
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Algebra.Com's Answer #9165 by wuwei96815(245)![]() ![]() ![]() You can put this solution on YOUR website! Multiply the first equation by -2 and then add the two equations together: \n" ); document.write( "-2(x -2y = 6) yields -2x + 4y = -12 \n" ); document.write( "(-2x + 4y = -12) + (2x + y = 4) yields 5y = -8 \n" ); document.write( "Solve for y: \n" ); document.write( "5y = -8 \n" ); document.write( "y = -8/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply the second equation by 2 and then add the two equations together: \n" ); document.write( "2(2x + y = 4) yields 4x +2y = 8 \n" ); document.write( "(x-2y=6) + (4x+2y=8) yields 5x = 14 \n" ); document.write( "Solve for x: \n" ); document.write( "5x = 14 \n" ); document.write( "x = 14/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To check these answers substitute them into the original equations. \n" ); document.write( " |