document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122702>Question 1122702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use Cramer's Rule to solve the following:\r<BR>\n" );
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document.write( "4X1+X2-X3=-2<BR>\n" );
document.write( "5X1+X2+2X3=4<BR>\n" );
document.write( "6X1+X2+X3=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738865 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52814)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "It depends on what is your goal in making this exercise. \r\n" );
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document.write( "If your goal is to learn the method, then do it on your own, by consulting with your textbook.\r\n" );
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document.write( "If your goal is simply to get the answer and avoid calculation routine, then\r\n" );
document.write( "you may use the online free of charge solver\r\n" );
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document.write( "https://matrix.reshish.com/cramer.php \r\n" );
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document.write( "Input the augmented matrix and press the \"Solve\" button.\r\n" );
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document.write( "Do you still have questions ?\r\n" );
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document.write( "Is there something that you do not understand ?\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "On the Cramer's method, see the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Determinant-of-a-3x3-matrix.lesson>Determinant of a 3x3 matrix</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Co-factoring-a-3x3-determinant.lesson>Co-factoring the determinant of a 3x3 matrix</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/HOW-TO-solve-system-of-linear-eqns-in-three-unknowns-using-det.lesson>HOW TO solve system of linear equations in three unknowns using determinant (Cramer's rule)</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-systems-of-linear-equations-in-three-unknowns-using-determinant.lesson>Solving systems of linear equations in three unknowns using determinant (Cramer's rule)</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-word-problems-by-reducing-them-to-systems-of-linear-equations-in-three-unknowns.lesson>Solving word problems by reducing to systems of linear equations in three unknowns</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic <BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp; \"<U>3x3-Matrices, determinants, Cramer's rule for systems in three unknowns</U>\" \r<BR>\n" );
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document.write( "Save the link to this textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-II<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "into your archive and use when it is needed.\r<BR>\n" );
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document.write( "In addition, &nbsp;there are many free of charge SOLVERS on a Cramer's rule in the internet.\r<BR>\n" );
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document.write( "One of such popular solvers is in this site under the link<BR>\n" );
document.write( "<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver>https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver</A>\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver\r<BR>\n" );
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document.write( " </SPAN>\n" );
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