document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065411>Question 1065411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 24x+2y=52 6x+3y=-36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680580 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</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=680580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "24x+2y=52 6x+3y=-36<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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;\">\r\n" );
document.write( "24x + 2y =  52    (1)\r\n" );
document.write( " 6x + 3y = -36    (2)\r\n" );
document.write( "\r\n" );
document.write( "Divide the first equation by 2 (both sides).\r\n" );
document.write( "Divide the second equation by 3 (both sides). You will get an equivalent system\r\n" );
document.write( "\r\n" );
document.write( "12x + y =  26     (1')\r\n" );
document.write( "2x  + y = -12     (2')\r\n" );
document.write( "\r\n" );
document.write( "Now distract the second equation from the first one. \r\n" );
document.write( "In this way you eliminate \"y\" and get a single equation for x:\r\n" );
document.write( "\r\n" );
document.write( "12x - 2x = 26 - (-12),\r\n" );
document.write( "\r\n" );
document.write( "10x = 26 + 12 = 38  --->  x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38%2F10 ALIGN=MIDDLE  ALT=\"38%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.8.\r\n" );
document.write( "\r\n" );
document.write( "Next, from (2') y = -12 - 2*3.8 = -19.6.\r\n" );
document.write( "\r\n" );
document.write( "<U>Answer</U>. x = 3.8,  y = -19.6.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "</pre>\r<BR>\n" );
document.write( "\n" );
document.write( "The method I applied here is called the Elimination method.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "On the Substitution method, Elimination method, Determinants' method for solving the systems of two linear equations <BR>\n" );
document.write( "in two unknowns see the lessons \r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-using-det.lesson>Solution of the linear system of two equations in two unknowns using determinant</A> \r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF= http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-system-of-two-eqns-by-the-Subst-method.lesson>Solution of the linear system of two equations in two unknowns by the Substitution method</A> \r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF= http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-Elimination-method.lesson>Solution of the linear system of two equations in two unknowns by the Elimination method</A> \r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/coordinate/lessons/Geom-interpret-of-the-lin-system-of-two-eqns-with-two-unknowns.lesson>Geometric interpretation of the linear system of two equations in two unknowns</A> \r<BR>\n" );
document.write( "\n" );
document.write( "in this site.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Systems of two linear equations in two unknowns</U>\".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );