document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472985>Question 472985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Does the system have a solution? If so, could you help me find it?\r<BR>\n" );
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document.write( "x+y=9<BR>\n" );
document.write( "5x+y=29<BR>\n" );
document.write( "x-y=2\r<BR>\n" );
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document.write( "How do I graph the function f(x)=[x-2]+3?\r<BR>\n" );
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document.write( "How do I solve the system :<BR>\n" );
document.write( "x-y+z=1<BR>\n" );
document.write( "2x+2y=4<BR>\n" );
document.write( "-x+4y+3z=6\r<BR>\n" );
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document.write( "Thank you for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324318 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=324318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y=9<BR>\n" );
document.write( "5x+y=29<BR>\n" );
document.write( "x-y=2<BR>\n" );
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document.write( "You have 3 equations with 2 variables.<BR>\n" );
document.write( "Adding the 1st and 3rd you get 2x = 11<BR>\n" );
document.write( "x = 5.5<BR>\n" );
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document.write( "Using x+y = 9, y = 3.5<BR>\n" );
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document.write( "Trying that in the 2nd equation you would get:<BR>\n" );
document.write( "5(5.5) + 3.5 = 29<BR>\n" );
document.write( "27.5 + 3.5 = 29<BR>\n" );
document.write( "31 = 29<BR>\n" );
document.write( "Wrong.<BR>\n" );
document.write( "The three lines do not meet at a point so there is<BR>\n" );
document.write( "no solution for the system.<BR>\n" );
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document.write( "How do I graph the function f(x)=[x-2]+3?<BR>\n" );
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document.write( "Is that supposed to be absolute (x-2)?<BR>\n" );
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document.write( "How do I solve the system :<BR>\n" );
document.write( "x-y+z=1<BR>\n" );
document.write( "2x+2y+0z=4<BR>\n" );
document.write( "-x+4y+3z=6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Divide thru the 2nd equation by 2<BR>\n" );
document.write( "How do I solve the system :<BR>\n" );
document.write( "x-y+z=1<BR>\n" );
document.write( "x+y+0z=2<BR>\n" );
document.write( "-x+4y+3z=6<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Subtract the 1st equation from the 2nd.<BR>\n" );
document.write( "Add the 1st equation to the 3rd.<BR>\n" );
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document.write( "x-y+z=1<BR>\n" );
document.write( "0x+2y-z=1<BR>\n" );
document.write( "0x+3y+4z=7<BR>\n" );
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document.write( "Divide thru the 2nd equation by 2.<BR>\n" );
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document.write( "x-y+z=1<BR>\n" );
document.write( "0x+y-(1/2)z=(1/2)<BR>\n" );
document.write( "0x+3y+4z=7<BR>\n" );
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document.write( "Subtract 3 times the 2nd equation from the 3rd:<BR>\n" );
document.write( "x-y+z=1<BR>\n" );
document.write( "0x+y-(1/2)z=(1/2)<BR>\n" );
document.write( "0x+0y+(11/2)z=11/2<BR>\n" );
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document.write( "Solve for \"z\" in the 3rd equation:<BR>\n" );
document.write( "x-y+z=1<BR>\n" );
document.write( "0x+y-(1/2)z=(1/2)<BR>\n" );
document.write( "0x+0y+z=1<BR>\n" );
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document.write( "Use z=1 to solve for \"y\" in the 2nd equation:<BR>\n" );
document.write( "y-(1/2) = 1/2<BR>\n" );
document.write( "y = 1<BR>\n" );
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document.write( "Use z = 1 and y = 1 to solve for \"x\" in the 1st equation:<BR>\n" );
document.write( "x -1+1 = 1<BR>\n" );
document.write( "x = 1<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "x = y = z = 1<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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