document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=904088>Question 904088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi would you please help me with this question and could you show me the steps on how to solve it please.\r<BR>\n" );
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document.write( "Solve the system of equations:<BR>\n" );
document.write( "x+y+z=1<BR>\n" );
document.write( "2x+4y+2z=-4<BR>\n" );
document.write( "-x+7y-3z=-35\r<BR>\n" );
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document.write( "My professor said the solution set is {(-1,-3,5)}\r<BR>\n" );
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document.write( "Can you kindly show me how he got those answers please. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548512 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=548512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you solve x+y+z=1 for z, then you get\r<BR>\n" );
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document.write( "x+y+z=1\r<BR>\n" );
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document.write( "y+z=1-x\r<BR>\n" );
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document.write( "z = 1-x-y\r<BR>\n" );
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document.write( "Plug this into the second equation\r<BR>\n" );
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document.write( "2x+4y+2z=-4\r<BR>\n" );
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document.write( "2x+4y+2(1-x-y)=-4\r<BR>\n" );
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document.write( "2x+4y+2-2x-2y=-4\r<BR>\n" );
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document.write( "2y+2 = -4\r<BR>\n" );
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document.write( "2y = -4-2\r<BR>\n" );
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document.write( "2y = -6\r<BR>\n" );
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document.write( "y = -6/2\r<BR>\n" );
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document.write( "y = -3\r<BR>\n" );
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document.write( "Because z = 1-x-y, and y = -3, we know that z = 1-x-y turns into z = 1-x-(-3) and that simplifies to z = 4-x\r<BR>\n" );
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document.write( "------------------\r<BR>\n" );
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document.write( "Now turn to the third equation -x+7y-3z=-35 \r<BR>\n" );
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document.write( "-x+7y-3z=-35 \r<BR>\n" );
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document.write( "-x+7y-3(4-x)=-35 ... plug in z = 4-x\r<BR>\n" );
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document.write( "-x+7y-12+3x=-35\r<BR>\n" );
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document.write( "-x+7(-3)-12+3x=-35 ... plug in y = -3, now solve for x\r<BR>\n" );
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document.write( "-x-21-12+3x=-35\r<BR>\n" );
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document.write( "2x-33 = -35\r<BR>\n" );
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document.write( "2x = -35+33\r<BR>\n" );
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document.write( "2x = -2\r<BR>\n" );
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document.write( "x = -2/2\r<BR>\n" );
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document.write( "x = -1\r<BR>\n" );
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document.write( "z = 4 - x\r<BR>\n" );
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document.write( "z = 4 - (-1)\r<BR>\n" );
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document.write( "z = 4 + 1\r<BR>\n" );
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document.write( "z = 5\r<BR>\n" );
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document.write( "==========================================================\r<BR>\n" );
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document.write( "Summary: \r<BR>\n" );
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document.write( "x = -1<BR>\n" );
document.write( "y = -3<BR>\n" );
document.write( "z = 5\r<BR>\n" );
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document.write( "The solution as an ordered triple is (-1,-3,5)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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