document.write( "Question 60195: Can someone help me solve this problem?\r
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document.write( " I need to solve the system by addition:\r
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document.write( " 5x - 3y = 13
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document.write( " 4x - 3y = 11\r
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document.write( " Thank you,
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document.write( " Sher \n" );
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Algebra.Com's Answer #41322 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Hi Sher,\r \n" ); document.write( "\n" ); document.write( " Solve the system by addition:\r \n" ); document.write( "\n" ); document.write( "E1: 5x - 3y = 13 \n" ); document.write( "E2: 4x - 3y = 11 \n" ); document.write( ": \n" ); document.write( " Multiply E2 by -1 and add E1+E2 and the y's will be eliminated so that you can solve for x. \n" ); document.write( ": \n" ); document.write( "E2: -1(4x-3y)=-1(11)----> -4x+3y=-11 \n" ); document.write( ": \n" ); document.write( "5x-3y=13 \n" ); document.write( "-4x+3y=-11 \n" ); document.write( "__________ \n" ); document.write( "x+0=2 \n" ); document.write( "x=2 \n" ); document.write( "Substitute x=2 into either equation and solve for y. \n" ); document.write( "5(2)-3y=13 \n" ); document.write( "10-3y=13 \n" ); document.write( "-10+10-3y=-10+13 \n" ); document.write( "-3y=3 \n" ); document.write( "-3y/-3=3/-3 \n" ); document.write( "y=-1 \n" ); document.write( "The solution is: (x,y)=(2,-1) \n" ); document.write( "Happy Calculating, Sher!!! \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |