document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449108>Question 449108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to solve by substitution. Clear fractions first.\r<BR>\n" );
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document.write( "1/5x+1/5y=1<BR>\n" );
document.write( "1/5x-1/5y=9/5\r<BR>\n" );
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document.write( "I keep getting the wrong answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308980 by </B><A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><B>Leaf W.(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><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=Leaf+W.><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29x+%2B+%281%2F5%29y+=+1 ALIGN=MIDDLE  ALT=\"%281%2F5%29x+%2B+%281%2F5%29y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29x+-+%281%2F5%29y+=+9%2F5 ALIGN=MIDDLE  ALT=\"%281%2F5%29x+-+%281%2F5%29y+=+9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Clear fractions by multiplying all elements by 5 (the LCD):<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%281%2F5%29x+%2B+%285%29%281%2F5%29y+=+%285%29%281%29 ALIGN=MIDDLE  ALT=\"%285%29%281%2F5%29x+%2B+%285%29%281%2F5%29y+=+%285%29%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%281%2F5%29x+-+%285%29%281%2F5%29y+=+%285%29%289%2F5%29 ALIGN=MIDDLE  ALT=\"%285%29%281%2F5%29x+-+%285%29%281%2F5%29y+=+%285%29%289%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Simplify. Notice that (5) cancels out (/5):<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+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=x+-+y+=+9 ALIGN=MIDDLE  ALT=\"x+-+y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Since you want to solve by substitution, you must isolate any variable in either of the equations. I am going to isolate the x in the second equation by adding y to both sides.<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+y+%2B+9 ALIGN=MIDDLE  ALT=\"x+=+y+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Substitute this value (y + 9) for x into the first equation.<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+9+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"y+%2B+9+%2B+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Add like terms:<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+9+=+5 ALIGN=MIDDLE  ALT=\"2y+%2B+9+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Subtract 9 from both sides:<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+-4 ALIGN=MIDDLE  ALT=\"2y+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Divide both sides by 2:<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2 ALIGN=MIDDLE  ALT=\"y+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> So, your y-coordinate is -2. Next, solve for x by plugging this value of y into the equation for x found a few steps ago (x = y + 9):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2+%2B+9 ALIGN=MIDDLE  ALT=\"x+=+-2+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> Add like terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7 ALIGN=MIDDLE  ALT=\"x+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> So, x-coordinate is 7. Plug these values for x and y into coordinate form (x, y): (7, -2)<BR>\n" );
document.write( "***Therefore, your answer is (7, -2) </SPAN>\n" );
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