document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916057>Question 916057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the solution of the system using matrix?\r<BR>\n" );
document.write( "\n" );
document.write( "4x+4y=40<BR>\n" );
document.write( "-4x-3y=-32\r<BR>\n" );
document.write( "\n" );
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 #555900 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B4y=40 ALIGN=MIDDLE  ALT=\"4x%2B4y=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x-3y=-32+ ALIGN=MIDDLE  ALT=\"-4x-3y=-32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "_________________\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "STEP 1: <BR>\n" );
document.write( "Find coefficient matrix (D), X matrix (Dx) and Y matrix (Dy). \r<BR>\n" );
document.write( "\n" );
document.write( "In this example we have:\r<BR>\n" );
document.write( "\n" );
document.write( "D = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+4%2C4%2C+-4%2C-3%29+%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+4%2C4%2C+-4%2C-3%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Dx=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+40%2C4%2C+-32%2C-3%29+%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+40%2C4%2C+-32%2C-3%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "Dy=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+4%2C40%2C+-4%2C-32%29+%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+4%2C40%2C+-4%2C-32%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "STEP 2: Find determinants for D, Dx and Dy. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "det D= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+4%2C4%2C+-4%2C-3%29+%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+4%2C4%2C+-4%2C-3%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28-3%29-4%28-4%29=-12%2B16=4 ALIGN=MIDDLE  ALT=\"4%2A%28-3%29-4%28-4%29=-12%2B16=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " det Dx= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+40%2C4%2C+-32%2C-3%29+%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+40%2C4%2C+-32%2C-3%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%28-3%29%2A1-4%2A%28-32%29=-120%2B128=8 ALIGN=MIDDLE  ALT=\"40%28-3%29%2A1-4%2A%28-32%29=-120%2B128=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " det Dy= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C2%2C+4%2C40%2C+-4%2C-32%29+%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C2%2C+4%2C40%2C+-4%2C-32%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28-32%29-40%2A%28-4%29=-128%2B160=32 ALIGN=MIDDLE  ALT=\"4%2A%28-32%29-40%2A%28-4%29=-128%2B160=32\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "STEP 3: Solve for the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=D%28x%29%2FD=8%2F4=highlight%282%29 ALIGN=MIDDLE  ALT=\"x=D%28x%29%2FD=8%2F4=highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=D%28y%29%2FD=32%2F4=highlight%288%29 ALIGN=MIDDLE  ALT=\"y=D%28y%29%2FD=32%2F4=highlight%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-5%2C+10%2C+-5%2C+10%2Ccircle%282%2C8%2C.1%29%2Clocate%282%2C8%2Cp%282%2C8%29%29%2C++graph%28+600%2C+600%2C+-5%2C+10%2C+-5%2C+10%2C+-x%2B10%2C+-%284%2F3%29x%2B32%2F3+%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );