document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936830>Question 936830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a 3 variable linear equation problem, that I am not sure how to combine to solve. The problem is to solve the system using linear combination method. Here are the three equations:\r<BR>\n" );
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document.write( "5x-4y+4z=18<BR>\n" );
document.write( "-x+3y-2z=0<BR>\n" );
document.write( "4x-2y+7z=3\r<BR>\n" );
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document.write( "I have combined the first and second problem to eliminate z, but I don't know what to do from there. \r<BR>\n" );
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document.write( "First I distibuted a scale of 2 to the second problem so that the z's would cancel out, and then I solved. \r<BR>\n" );
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document.write( "(2)-x+3y-2z=0<BR>\n" );
document.write( "-2x+6y-4z=0\r<BR>\n" );
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document.write( "    5x-4y+4z=18<BR>\n" );
document.write( "+  -2x+6y-4z=0<BR>\n" );
document.write( "__________________<BR>\n" );
document.write( "    3x+2y   =18<BR>\n" );
document.write( "Please help me eliminate another variable so I can solve the rest of the problem.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570321 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=570321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "This is a 3 variable linear equation problem, that I am not sure how to combine to solve. The problem is to solve the system using linear combination method. Here are the three equations:\r<BR>\n" );
document.write( "\n" );
document.write( "5x-4y+4z=18<BR>\n" );
document.write( "-x+3y-2z=0<BR>\n" );
document.write( "4x-2y+7z=3\r<BR>\n" );
document.write( "\n" );
document.write( "I have combined the first and second problem to eliminate z, but I don't know what to do from there. \r<BR>\n" );
document.write( "\n" );
document.write( "First I distibuted a scale of 2 to the second problem so that the z's would cancel out, and then I solved. \r<BR>\n" );
document.write( "\n" );
document.write( "(2)-x+3y-2z=0<BR>\n" );
document.write( "-2x+6y-4z=0\r<BR>\n" );
document.write( "\n" );
document.write( "    5x-4y+4z=18<BR>\n" );
document.write( "+  -2x+6y-4z=0<BR>\n" );
document.write( "__________________<BR>\n" );
document.write( "    3x+2y   =18<BR>\n" );
document.write( "Please help me eliminate another variable so I can solve the rest of the problem.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 4 color = \"indigo\"><b>The easiest variable to eliminate is x. You do this by MULTIPLYING equation 2 by 5 to create equation (iv).<BR>\n" );
document.write( "Then subtract equation (iv) from equation (i). You now have an equation in 2 unknowns (y and z). This is equation (v)\r<BR>\n" );
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document.write( "You then MULTIPLY equation 2 by 4 to create equation (vi). Then subtract equation (vi) from equation (iii).<BR>\n" );
document.write( "You now have an equation in 2 unknowns (y and z). This is equation (vii)\r<BR>\n" );
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document.write( "Eliminate one of the variables from equations (v) and (vii). When you have 1 equation in 1 unknown,<BR>\n" );
document.write( "and solve for that unknown, you will then be able to determine the values for the other 2 variables. \r<BR>\n" );
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document.write( "When all is \"said and done,\" you should obtain: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%28x+=+6%2C%09y+=+0_and%2Cz+=+-+3%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28system%28x+=+6%2C%09y+=+0_and%2Cz+=+-+3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can do the check!! <BR>\n" );
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document.write( "If you need a complete and detailed solution, let me know!!<BR>\n" );
document.write( "</font face = \"Tohoma\" size = 4 color = \"indigo\"></b>Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.<BR>\n" );
document.write( "Further help is available, online or in-person, for a fee, obviously. \r<BR>\n" );
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document.write( "For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL<BR>\n" );
document.write( "MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, <BR>\n" );
document.write( "Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,<BR>\n" );
document.write( "GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/. </SPAN>\n" );
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