document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17091>Question 17091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 9x + 1y = 38<BR>\n" );
document.write( "-5x - 4y = 3\r<BR>\n" );
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document.write( "write the augmented matriz for the linear system and then solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8307 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=8307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9x + 1y = 38<BR>\n" );
document.write( "-5x - 4y = 3<BR>\n" );
document.write( "augmented matrix is obtained by joining the numerals on the right hand side of the equations (38 and 3)as an additional column to the coefficient matrix formed by using the coefficients of x and y on the left hand side of the equations ..it is =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C9%2C1%2C38%2C-5%2C-4%2C3%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C9%2C1%2C38%2C-5%2C-4%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we have to bring the augmented matrix into the form <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C1%2C0%2Ca%2C0%2C1%2Cb%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C1%2C0%2Ca%2C0%2C1%2Cb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >by appropriate transformation ,when we get the solution as x=a and y=b..i hope you know the procedure ..i am giving the stepsbelow with the transformation used..\r<BR>\n" );
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document.write( "start <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C9%2C1%2C38%2C-5%2C-4%2C3%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C9%2C1%2C38%2C-5%2C-4%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "new R1=oldR1/9..here after abbreviated as NR1=OR/9...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C1%2C1%2F9%2C38%2F9%2C-5%2C-4%2C3%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C1%2C1%2F9%2C38%2F9%2C-5%2C-4%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NR2=OR2+5*OR1...note that here old R1 refers to already modified row in the above matrix<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C1%2C1%2F9%2C38%2F9%2C0%2C%28-4%2B5%2F9%29%2C%283%2B5%2A38%2F9%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C1%2C1%2F9%2C38%2F9%2C0%2C%28-4%2B5%2F9%29%2C%283%2B5%2A38%2F9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NR2=OR2*(-9/31)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C1%2C1%2F9%2C38%2F9%2C0%2C1%2C%28-9%2F31%29%2A%28217%2F9%29%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C1%2C1%2F9%2C38%2F9%2C0%2C1%2C%28-9%2F31%29%2A%28217%2F9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NR1=OR1-OR2*(1/9)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C1%2C0%2C%28%2838%2F9%29-%28-217%2F%2831%2A9%29%29%29%2C0%2C1%2C%28-217%2F31%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "on simplifying<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C1%2C0%2C5%2C0%2C1%2C-7%29 ALIGN=MIDDLE  ALT=\"matrix%282%2C3%2C1%2C0%2C5%2C0%2C1%2C-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "hence x=5 and y=-7..you can check by substitution in the original equations.<BR>\n" );
document.write( " </SPAN>\n" );
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