document.write( "Question 108482: Solve the system by addition.
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document.write( " 4x – 6y = –1
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document.write( " 8x + 3y = 3
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Algebra.Com's Answer #79157 by elima(1433)![]() ![]() ![]() You can put this solution on YOUR website! 4x – 6y = –1 \n" ); document.write( "8x + 3y = 3 \n" ); document.write( "============== \n" ); document.write( "This is also called elimination, you want to eliminate one of the variables. \n" ); document.write( "So we will try to eliminate the x, so I will multiply the first equation by -2, \n" ); document.write( "(-2)4x-6y=-1 \n" ); document.write( "-8x+12y=2----new equation \n" ); document.write( "Now lets take the new equation and add it to the original second; \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " _________ \n" ); document.write( "15y=5 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Now we will plug y=1/3 into one of the original equations for y; \n" ); document.write( "4x-6(1/3)=-1 \n" ); document.write( "4x-2=-1 \n" ); document.write( "4x=1 \n" ); document.write( "x=1/4 \n" ); document.write( "check: \n" ); document.write( "4(1/4)-6(1/3)=-1 \n" ); document.write( "1-2=-1 \n" ); document.write( ":) \n" ); document.write( " |