document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153499>Question 153499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with these problems\r<BR>\n" );
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document.write( "1. Find the equation in standard form,with all integer coefficients of the line perpendicular to x- 2y = 24 and passing through (1,3)\r<BR>\n" );
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document.write( "2.Solve the system of equation using the addition (elimination method)if the answer is a solution present it in ordered pair(x,y) if not specify wheather it a \"no solution or \"infinite many solution\"<BR>\n" );
document.write( "x + 2y = 5<BR>\n" );
document.write( "3x + 4y = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112989 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. First find the slope of this line. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y=24 ALIGN=MIDDLE  ALT=\"x-2y=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y=24+-x ALIGN=MIDDLE  ALT=\"-2y=24+-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2824-x%29%2F%28-2%29 ALIGN=MIDDLE  ALT=\"y=%2824-x%29%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-24%29%2F2 ALIGN=MIDDLE  ALT=\"y=%28x-24%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope is (1/2).<BR>\n" );
document.write( "Perpendicular lines have slopes that are negative reciprocals.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5Dm%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5Dm%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29m%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"%281%2F2%29m%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-2 ALIGN=MIDDLE  ALT=\"m%5B2%5D=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the point slope form of a line with the slope and point(1,3),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=m%28x-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-3=-2%28x-1%29 ALIGN=MIDDLE  ALT=\"y-3=-2%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B2%2B3%29 ALIGN=MIDDLE  ALT=\"y=-2x%2B2%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B5 ALIGN=MIDDLE  ALT=\"y=-2x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Standard form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=5 ALIGN=MIDDLE  ALT=\"2x%2By=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-4%2C+10%2C+-10%2C+4%2Cgrid%28+1+%29%2Ccircle%28+1%2C+3%2C+.2+%29%2Cgraph%28+300%2C+300%2C+-4%2C+10%2C+-10%2C+4%2C+%28x-24%29%2F2%2C+-2x%2B5%29+%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2y+=+5 ALIGN=MIDDLE  ALT=\"x+%2B+2y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+4y+=+1 ALIGN=MIDDLE  ALT=\"3x+%2B+4y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply eq. 1 by (-2) and add to eq. 2,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x+-4y+=+-10 ALIGN=MIDDLE  ALT=\"-2x+-4y+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B4y=1 ALIGN=MIDDLE  ALT=\"3x%2B4y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B3x-4y%2B4y=-10%2B1 ALIGN=MIDDLE  ALT=\"-2x%2B3x-4y%2B4y=-10%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9 ALIGN=MIDDLE  ALT=\"x=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2y+=+5 ALIGN=MIDDLE  ALT=\"x+%2B+2y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9+%2B+2y+=+5 ALIGN=MIDDLE  ALT=\"-9+%2B+2y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=14 ALIGN=MIDDLE  ALT=\"2y=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-10%2C+2%2C+-2%2C+10%2Cgrid%28+1+%29%2Ccircle%28+-9%2C+7%2C+.2+%29%2Cgraph%28+300%2C+300%2C+-10%2C+2%2C+-2%2C+10%2C+%285-x%29%2F2%2C+%281-3x%29%2F4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One unique solution (-9,7). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );