document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106437>Question 106437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find four solutions for the equation 3x + 5y = 15.  I don't know if I did my solutions right and if they make sense.\r<BR>\n" );
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document.write( "3(3) + 5y = 15<BR>\n" );
document.write( " 9 + 5y = 15      Solution is (3,1)<BR>\n" );
document.write( "     5y = 6<BR>\n" );
document.write( "      y = 1\r<BR>\n" );
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document.write( "3x + 5(0)= 15<BR>\n" );
document.write( "3x + 0 = 15         Solution is (5,0)<BR>\n" );
document.write( "     3x = 15<BR>\n" );
document.write( "      x = 5\r<BR>\n" );
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document.write( "3(0) + 5y = 15<BR>\n" );
document.write( "       5y = 15      Solution is (3,0)<BR>\n" );
document.write( "        y = 3\r<BR>\n" );
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document.write( "3x + 5(6) = 15<BR>\n" );
document.write( "  3x + 30 = 15      Solution is (6,-3)<BR>\n" );
document.write( "       3x = -15<BR>\n" );
document.write( "        x = -5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77451 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=77451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A couple of mistakes, let's go through. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%283%29+%2B+5y+=+15 ALIGN=MIDDLE  ALT=\"3%283%29+%2B+5y+=+15\"   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+5y+=+15+ ALIGN=MIDDLE  ALT=\"+9+%2B+5y+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++++5y+=+6 ALIGN=MIDDLE  ALT=\"+++++5y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++y+=+highlight%281%29 ALIGN=MIDDLE  ALT=\"+++y+=+highlight%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That answer is wrong. It should be,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++y+=+6%2F5 ALIGN=MIDDLE  ALT=\"+++y+=+6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3,1.2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+5%280%29=+15 ALIGN=MIDDLE  ALT=\"3x+%2B+5%280%29=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+0+=+15++++ ALIGN=MIDDLE  ALT=\"3x+%2B+0+=+15++++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++3x+=+15 ALIGN=MIDDLE  ALT=\"++3x+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good answer, (5,0).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%280%29+%2B+5y+=+15 ALIGN=MIDDLE  ALT=\"3%280%29+%2B+5y+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++++5y+=+15 ALIGN=MIDDLE  ALT=\"++++5y+=+15\"   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 ALIGN=MIDDLE  ALT=\"++y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good answer, but you re-arranged your (x,y) ordered pair.<BR>\n" );
document.write( "It should be (0,3). <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+5%286%29+=+15 ALIGN=MIDDLE  ALT=\"3x+%2B+5%286%29+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+30+=+15+ ALIGN=MIDDLE  ALT=\"+3x+%2B+30+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++3x+=+-15 ALIGN=MIDDLE  ALT=\"+++3x+=+-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-5 ALIGN=MIDDLE  ALT=\"+x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good answer, but you mistakenly wrote your (x,y) ordered pair.<BR>\n" );
document.write( "It should be (-5,6). <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-6%2C+6%2C+-5%2C+10%2Cgrid%28+1+%29%2Cred%28circle%283%2C1.2%2C.3%29%29%2Cred%28circle%285%2C0%2C.3%29%29%2Cred%28circle%280%2C3%2C.3%29%29%2Cred%28circle%28-5%2C6%2C.3%29%29%2Cgreen%28line%28+-10%2C+9%2C+10%2C+-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation is for a line. <BR>\n" );
document.write( "All the solutions must fall on the line. <BR>\n" );
document.write( "Good luck.  </SPAN>\n" );
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