document.write( "Question 144967: solve the following systems of linear equations using the elimination method show your solution as an ordered triple
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document.write( "x-2y+3=-4
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document.write( "3x+y-z=0
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document.write( "2x+3y-5z=1 \n" );
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Algebra.Com's Answer #105780 by seema230480(3)![]() ![]() ![]() You can put this solution on YOUR website! x-2y+3=-4--------------1 \n" ); document.write( "3x+y-z=0--------------2 \n" ); document.write( "2x+3y-5z=1------------3\r \n" ); document.write( "\n" ); document.write( "From 2, z=3x+y \n" ); document.write( "So 3 becomes, 2x+3y-5(3x+y)=1 \n" ); document.write( "Solving the above we get, -13x-2y=1---------4 \n" ); document.write( "From 1 we have, x-2y=-7\r \n" ); document.write( "\n" ); document.write( "Solving 1 and 4 we have \n" ); document.write( "-13x-2y=1-----------4 \n" ); document.write( "x-2y=-7-------------5\r \n" ); document.write( "\n" ); document.write( "Multiply 13 on both sides of 5, we have now 13x-26y=-91\r \n" ); document.write( "\n" ); document.write( "Subtracting one from the other, we have \n" ); document.write( "13x-26y=-91 \n" ); document.write( "-13x-2y=1 \n" ); document.write( "------------- \n" ); document.write( "0-28y=-90 \n" ); document.write( "----------- \n" ); document.write( "y=90/28=45/14 \n" ); document.write( "x=-7+2*45/14 \n" ); document.write( "x=(-49+45)/7=-4/7\r \n" ); document.write( "\n" ); document.write( "z=3*(-4/7)+45/14=3/2 \n" ); document.write( " |