document.write( "Question 551418: -3x + 4y= 8
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document.write( "x +2y =10 \n" );
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Algebra.Com's Answer #359722 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! -3x + 4y = 8 \n" ); document.write( "x + 2y = 10 \n" ); document.write( ". \n" ); document.write( "Multiply the second equation by 2 and then subtract the second equation to eliminate the 'y' term. \n" ); document.write( ". \n" ); document.write( "-3x +4y = 8 \n" ); document.write( "2x + 4y = 20 \n" ); document.write( "------------- subtract \n" ); document.write( "-5x = -12 \n" ); document.write( "x = -12/-5 = 12/5 \n" ); document.write( ". \n" ); document.write( "Now substitute to find 'y' using the first equation. \n" ); document.write( ". \n" ); document.write( "-3*(12/5) + 4*y = 8 \n" ); document.write( "4y = 8 +36/5 = 40/5 + 36/5 = 76/5 \n" ); document.write( "y = 19/5 \n" ); document.write( ". \n" ); document.write( "Check these values using the second equation to be sure this is the answer. \n" ); document.write( "(12/5) + 2*(19/5) = 10 \n" ); document.write( "12/5 + 38/5 = 50/5 = 10 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: x = 12/5, y = 19/5, which can be shown as the ordered point (12/5, 19/5). \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " \n" ); document.write( " |