document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=702244>Question 702244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this linear equation using substitution.\r<BR>\n" );
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document.write( "0.6x - 0.2y = -0.2<BR>\n" );
document.write( "-0.03x - 0.07y = 0.17\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432887 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This system,<BR>\n" );
document.write( "0.6x - 0.2y = -0.2<BR>\n" );
document.write( "-0.03x - 0.07y = 0.17\r<BR>\n" );
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document.write( "will be a bit more comfortable if you multiply the entire first equation by 10, and the entire second equation by -100.\r<BR>\n" );
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document.write( "You will then have the equivalent system,<BR>\n" );
document.write( "6x-2y=-2<BR>\n" );
document.write( "3x+7y=-17\r<BR>\n" );
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document.write( "Solve either equation for x  OR  y; substitute the found expression into the other equation and solve for the other variable.  You now will have one of the values for that variable.\r<BR>\n" );
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document.write( "As example of a way to do the process, I pick the second equation and solve for y:<BR>\n" );
document.write( "7y=-17-3x<BR>\n" );
document.write( "y=(-17-3x)/7\r<BR>\n" );
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document.write( "Let me put this expression for y into the first equation.<BR>\n" );
document.write( "6x-2(y)=-2<BR>\n" );
document.write( "6x-2((-17-3x)/7)=-2<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax-2%2A%28%28-17-3%2Ax%29%2F7%29=-2 ALIGN=MIDDLE  ALT=\"6%2Ax-2%2A%28%28-17-3%2Ax%29%2F7%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now solve for x,.....continue until done....!\r<BR>\n" );
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document.write( "... a little bit further into the process,<BR>\n" );
document.write( "clear the fraction by multiplying both sides by 7:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2Ax-2%28-17-3%2Ax%29=-14 ALIGN=MIDDLE  ALT=\"42%2Ax-2%28-17-3%2Ax%29=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=43%2Ax%2B34%2B6%2Ax=-14 ALIGN=MIDDLE  ALT=\"43%2Ax%2B34%2B6%2Ax=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Ax=-34-14 ALIGN=MIDDLE  ALT=\"48%2Ax=-34-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Ax=-48 ALIGN=MIDDLE  ALT=\"48%2Ax=-48\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...... You can continue on from here... </SPAN>\n" );
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