document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163638>Question 1163638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem. I tried to do it all different ways and am completely stumped.\r<BR>\n" );
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document.write( "Solve the following system of equations for the unknown variables.<BR>\n" );
document.write( "3x + 3y = 3\r<BR>\n" );
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document.write( "-3x  -  2z = -11\r<BR>\n" );
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document.write( "y + z = -1\r<BR>\n" );
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document.write( "(NOTE: Show answer in the following format (#,#,#), using the parentheses in your answer. If not entered in this format, will be scored incorrect.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787789 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equations are:\r<BR>\n" );
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document.write( "3x + 3y = 3<BR>\n" );
document.write( "-3x - 2z = -11<BR>\n" );
document.write( "y + z = -1\r<BR>\n" );
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document.write( "solve for z in the third equation to get z = -y - 1\r<BR>\n" );
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document.write( "replace z in the second equation to get -3x - 2 * (-y-1) = -11.<BR>\n" );
document.write( "simplify to get -3x + 2y + 2 = -11<BR>\n" );
document.write( "subtract 2 from both sides of the equation to get -3x + 2y = -13\r<BR>\n" );
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document.write( "you can now solve the first 2 equations simultaneously.<BR>\n" );
document.write( "they are:\r<BR>\n" );
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document.write( "3x + 3y = 3<BR>\n" );
document.write( "-3x + 2y = -13\r<BR>\n" );
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document.write( "add the equations together to get:<BR>\n" );
document.write( "5y = -10<BR>\n" );
document.write( "solve for y to get y = -2\r<BR>\n" );
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document.write( "replace y with -2 in the first equation to get:<BR>\n" );
document.write( "3x + 3y = 3 becomes 3x - 6 = 3<BR>\n" );
document.write( "add 6 to both sides of that equation to get 3x = 9<BR>\n" );
document.write( "solve for x to get x = 3\r<BR>\n" );
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document.write( "you now have x = 3 and y = -2\r<BR>\n" );
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document.write( "go back to the third equation and replace y with -2<BR>\n" );
document.write( "y + z = -1 becomes -2 + z = -1<BR>\n" );
document.write( "add 2 to both sides of that equation to get z = 1\r<BR>\n" );
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document.write( "you now have x = 3 and y = -2 and z = 1\r<BR>\n" );
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document.write( "go back to youor 3 original equations and replace x and y and z with their respective values to see if those equations are true.\r<BR>\n" );
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document.write( "3x + 3y = 3 becomes 3*3 - 3*2 = 3 which becomes 9 - 6 = 3 which becomes 3 = 3 which is true.\r<BR>\n" );
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document.write( "-3x - 2z = -11 becomes -3*3 - 2*1 = -11 which becomes -9 - 2 = -11 which becomes - 11 = -11 which is true.\r<BR>\n" );
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document.write( "y + z = -1 bcomes -2 + 1 = -1 which becomes -1 = -1 which is true.\r<BR>\n" );
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document.write( "it looks like x = 3, y = -2, z = 1 is your solution.\r<BR>\n" );
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document.write( "it can be shown in (x,y,z) format as (3,-2,1)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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