document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977830>Question 977830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using elimination, what are the steps to figure out the unknowns in this linear equation:<BR>\n" );
document.write( "3a+5b-c=47<BR>\n" );
document.write( "2a-b+3c=-2<BR>\n" );
document.write( "4a+b-2c=30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599414 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=599414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "3a + 5b - c = 47 ....(1)<BR>\n" );
document.write( "2a - b + 3c = -2 ....(2)<BR>\n" );
document.write( "4a + b - 2c = 30 ....(3)<BR>\n" );
document.write( ".............<BR>\n" );
document.write( "Add (2) + (3)<BR>\n" );
document.write( "2a - b + 3c = -2 ....(2)<BR>\n" );
document.write( "4a + b - 2c = 30 ....(3)\r<BR>\n" );
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document.write( "6a    + c = 28 ......(4)<BR>\n" );
document.write( ".................<BR>\n" );
document.write( "Multiply (2) x 5 and add to (1)<BR>\n" );
document.write( "3a + 5b - c = 47 .....(1)<BR>\n" );
document.write( "10a - 5b + 15c = -10...(2)\r<BR>\n" );
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document.write( "Add (1) + (2)<BR>\n" );
document.write( "13a      +14c = 37.....(5)<BR>\n" );
document.write( "...............<BR>\n" );
document.write( "Now consider Equations (4) and (5)\r<BR>\n" );
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document.write( "6a + c = 28 .....(4)<BR>\n" );
document.write( "13a + 14c = 37 ...(5)<BR>\n" );
document.write( "Multiply (4) by 14 and subtract (5)<BR>\n" );
document.write( "84a + 14c = 392 ...(4)<BR>\n" );
document.write( "13a + 14c = 37 ....(5)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "71a      = 355<BR>\n" );
document.write( "a = 5 (Solution)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Substitute a = 5 into Equation(4)<BR>\n" );
document.write( "6a + c = 28 ....(4)<BR>\n" );
document.write( "6(5) + c = 28 ...(4)<BR>\n" );
document.write( "30 + c = 28 .....(4)<BR>\n" );
document.write( "c = 28 - 30<BR>\n" );
document.write( "c = -2 (Solution)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Substitute a = 5 , c = -2 into<BR>\n" );
document.write( "Equation (1)<BR>\n" );
document.write( "3a + 5b - c = 47 ...(1)<BR>\n" );
document.write( "3(5) + 5b - (-2) = 47....(1)<BR>\n" );
document.write( "15 + 5b + 2 = 47 ....(1)<BR>\n" );
document.write( "Collect like terms<BR>\n" );
document.write( "5b = 47 - 17 .....(1)<BR>\n" );
document.write( "5b = 30 .....(1)<BR>\n" );
document.write( "b = 6 (Solution)<BR>\n" );
document.write( "a = 5 : b = 6 : c = -2<BR>\n" );
document.write( "Hope this helps:-)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );